Is this PSU enough for the XFX 9600GT

Hi all,
Currently, I have an old ATI HD 2400 Pro card which is now really struggling to keep up with modern games, so I think its time for a slight upgrade. I'm planning to get the XFX 9600GT Standard Edition (see details).

What's holding me back right now is that I'm unsure whether my PSU is up to the task. Its an ASUS 350W PSU with max rated output of 400W.

The maximum output of the two +12V rails is 205W and 19A (+12V1 has 14A and +12V2 has 16A, but the total combined output is 19A).

My other specs are:

Intel Pentium dual-core E2160 slightly OC'ed at 2.2GHz, 2GB DDR2 667MHz RAM, ASUS P5B-MX/WiFi-AP mobo, 2 HDs (WD 640GB + Seagate 250GB) and an LG DVD Burner.

The detailed PSU requirements aren't given, though 400W is recommended, I think it just might be possible to pull it off with this (I know someone who's running a 9800GTX+ with an Antec 400W PSU so this should be pretty easy!).

I saw the requirements for the Inno3D 9600GT, and it says a minimum of 30A is required on the +12V rail (isn't that a tad too much??).

So I need to know, will this work?

Thanks in advance!

P.S. The PSU also doesn't have a PCIe connector, but I do have 2 free peripheral connectors so I can just use a Molex to PCIe connector to get around this problem

I think what I'll do is get the 9600GT and see how it goes. If it turns out to be unstable then I'll get the ASUS 500W PSU.

Oh and one more thing: Which components run off the +3.3V and +5V rail?

Why not an HD4770, more powerful with lower power consumption?

I would also recommend a better quality brand PSU such as Corsair or Seasonic.

The HD4770 isn't available here

I think I'll go for it. Get the 9600GT and see how it goes...the worst that can happen is that it'll be unstable, right? Assuming it won't fry any components, I'll give it a shot, and if doesn't turn out good then I'll get a new PSU.