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Finding the Fourth Proportional to 622.30, 932.96 and 325.09

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Solution

The fourth proportional to 622.30, 932.96 and 325.09 is: 487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.30 : 932.96 = 325.09 : x
  2. Step 2: Convert to fraction form
    622.30/932.96 = 325.09/x
  3. Step 3: Cross multiply
    622.30x = 932.96 × 325.09
  4. Step 4: Simplify right side
    622.30x = 303,295.97
  5. Step 5: Solve for x
    x = 303,295.97/622.30
  6. Step 6: Final answer
    x = 487.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.