Directions: What approximate value will come in place of the question mark (?) in the following equation? (You are not expected to calculate the exact value)

(657.89 + 60.02% of 349.96) = ${?}^2$ + 83.97

The correct answer is 28.

Given equation:

$(657.89+60.02\%\text{of}349.96)={?}^2+83.97$

Since we need to find the approximate value, let us round off the numbers to their nearest integers:
657.89 ≈ 658
60.02% ≈ 60%
349.96 ≈ 350
83.97 ≈ 84

Now, substitute these approximate values into the equation:

$(658+60\%\text{of}350)={?}^2+84$

First, calculate 60% of 350:

$60\%\text{of}350=\frac{60}{100}\times 350=210$

Now, add 658 to 210 to solve the left-hand side of the equation:

$658+210=868$

Substitute this value back into the equation:

$868={?}^2+84$

Subtract 84 from both sides to isolate ${?}^2$:

${?}^2=868-84$

${?}^2=784$

Take the square root of both sides:

$?=\sqrt{784}$

$?=28$

Hence, the approximate value that comes in place of the question mark (?) is 28.