Adapter Description NVIDIA GeForce 8800 GT
Adapter RAM 512.00 MB (536,870,912 bytes)
System Manufacturer Dell Inc.
System Model Inspiron 530
System Type X86-based PC
Processor Intel(R) Core(TM)2 Quad CPU Q6600 @ 2.40GHz, 2400 Mhz, 4 Core(s), 4 Logical Processor(s)
BIOS Version/Date Dell Inc. 1.0.13, 3/20/2008
Installed Physical Memory (RAM) 3.00 GB
*** UPDATE ***
Very sorry about the link - i fixed that link and uploaded my actual PSU pic to http://img822.imageshack.us/img822/254/liteonpsu.jpg I run 2 HD, 1 DVD burner, Front Card Reader, and onboard sound and ethernet, and have 3 items plugged into USB. Yes, it is aftermarket Nvidia Geforce 8800GT (at the time was thought was about one of few cards that could be powered with stock 350 psu) and it is powered with a connector with 6 wires.
your link to the psu didn't work but 350w psu should definitely be enough for a HD5670. since your currently using a 8800gt i think you can get away with a HD5770 since they have similar power usage, although for less risk you could try the 5750 which uses less.