I could find no info on your PSU other than it's 600W so here's the thing...
I think the GTX 470 should fit the case no problem but (big but) I don't know if you have two 6 pin (or a 6 and a 6+2) PCI-E connectors for the graphics card. If you do, it should work fine. If you do not have the PCI-E cables on your PSU, there are adapters but I will not recommend their use.