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Finding the Fourth Proportional to 562.24, 839.06 and 500.73

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Solution

The fourth proportional to 562.24, 839.06 and 500.73 is: 747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.24 : 839.06 = 500.73 : x
  2. Step 2: Convert to fraction form
    562.24/839.06 = 500.73/x
  3. Step 3: Cross multiply
    562.24x = 839.06 × 500.73
  4. Step 4: Simplify right side
    562.24x = 420,140.62
  5. Step 5: Solve for x
    x = 420,140.62/562.24
  6. Step 6: Final answer
    x = 747.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.