Wizzam :
Isn't the Intel HD 4600 better than the 8550g?
Yes it is.
The Intel HD 4600 is ranked between the Radeon HD 7660g (most powerful Trinity iGPU) and the Radeon HD 8610G (2nd most powerful Richland iGPU). The Radoen HD 8550g is below the HD 7660g which means it is weaker than a desktop Radeon HD 5570 graphics card.
If you see a link for a laptop with the Intel HD 4600 for $400, then post the link since for some reason I have seen a lot of posts for a $400 "gaming" laptop.