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

$\sqrt{840.99}+\frac{14}{19}\text{ of }361.09=?\times 4.88$

The correct option is 59.

To solve this approximation problem, we can round each decimal number to its nearest whole number or convenient integer value:

1. $\sqrt{840.99}$ can be approximated as $\sqrt{841}$.

Since ${29}^2=841$, we have $\sqrt{841}=29$.

2. 361.09 can be approximated as 361.

Now, calculate $\frac{14}{19}\times 361$:

Since $361/19=19$, we get:

$14\times 19=266$

3. The left side of the equation becomes:

$29+266=295$

4. 4.88 can be approximated as 5.

Substituting these approximations into the main equation:

$295=?\times 5$

Solving for ?:

$?=\frac{295}{5}=59$

Hence, the approximate value in place of the question mark is 59.