Step 1 :The question is asking for the arctan of 0.490. The arctan function is the inverse of the tangent function. It returns the angle whose tangent is 0.490.
Step 2 :Calculate the arctan of 0.490 to get approximately 0.4556156532112245 radians.
Step 3 :Round this value to the nearest thousandth to get 0.456 radians.
Step 4 :Final Answer: \(\arctan (0.490) \approx \boxed{0.456}\) in radians.