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Finding the Fourth Proportional to 562.61, 842.61 and 331.04

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Solution

The fourth proportional to 562.61, 842.61 and 331.04 is: 495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 842.61 = 331.04 : x
  2. Step 2: Convert to fraction form
    562.61/842.61 = 331.04/x
  3. Step 3: Cross multiply
    562.61x = 842.61 × 331.04
  4. Step 4: Simplify right side
    562.61x = 278,937.61
  5. Step 5: Solve for x
    x = 278,937.61/562.61
  6. Step 6: Final answer
    x = 495.79

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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.