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Finding the Fourth Proportional to 622.15, 932.92 and 362.24

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Solution

The fourth proportional to 622.15, 932.92 and 362.24 is: 543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.15 : 932.92 = 362.24 : x
  2. Step 2: Convert to fraction form
    622.15/932.92 = 362.24/x
  3. Step 3: Cross multiply
    622.15x = 932.92 × 362.24
  4. Step 4: Simplify right side
    622.15x = 337,937.70
  5. Step 5: Solve for x
    x = 337,937.70/622.15
  6. Step 6: Final answer
    x = 543.18

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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.