need help with video card

Well, yeah... my gtx 560 ti died a few days ago so I was thinking about buying a radeon sapphire radeon R9 270x toxic, however... It's way too big (around 310mm), My case has 24cm space for the video card, so my question is, are there any similar cards like this in power but smaller than 24cm or maybe another version of this card cuz I couldn't find any :(, if some1 could help I'd really appreciate it. :) I'll put up a GA in this thread when I get back my PC.(I'm on mobile atm.)