ATI Radeon 4350 good for small form factor PC?

A friend of mine recently purchased a Gateway small form factor PC from best buy. He wants to know what graphics card would be able to fit in it. I did some looking and I found the ATI 4350. Would that be a good choice for an upgrade and would it fit?

Here are the dimensions of the case & product page:

Product Height
10.7″
Product Width
4.2″
Product Weight
12 lbs.
Product Depth
13″

http://www.bestbuy.com/site/olspage.jsp?skuId=9352336&type=product&id=1218089773975

PS – He wants the card for 1080p HD playback and vista aero.