what should come in place of question mark (?) in the following questions?
`?/(529) = (324)/?`

Options

A. 404
B. 408
C. 410
D. 414

Answer

To solve the equation \( \frac{?}{529} = \frac{324}{?} \), we will follow these steps:

### Step 1: Cross-Multiply
We start by cross-multiplying the equation to eliminate the fractions. This gives us:
\[ ? \times ? = 324 \times 529 \]
This can be rewritten as:
\[ ?^2 = 324 \times 529 \]

### Step 2: Calculate the Right Side
Next, we need to calculate \( 324 \times 529 \). We can break this down:
- First, we find the square roots of 324 and 529:
- \( \sqrt{324} = 18 \)
- \( \sqrt{529} = 23 \)

Thus, we can express the multiplication as:
\[ ?^2 = (18 \times 23)^2 \]

### Step 3: Take the Square Root
Now, we take the square root of both sides:
\[ ? = 18 \times 23 \]

### Step 4: Calculate the Final Value
Now we compute \( 18 \times 23 \):
\[ 18 \times 23 = 414 \]

### Conclusion
Therefore, the value of the question mark (?) is:
\[ ? = 414 \]

### Final Answer
The answer is \( 414 \).