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Finding the Fourth Proportional to 724.17, 999.45 and 429.55

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Solution

The fourth proportional to 724.17, 999.45 and 429.55 is: 592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.17 : 999.45 = 429.55 : x
  2. Step 2: Convert to fraction form
    724.17/999.45 = 429.55/x
  3. Step 3: Cross multiply
    724.17x = 999.45 × 429.55
  4. Step 4: Simplify right side
    724.17x = 429,311.60
  5. Step 5: Solve for x
    x = 429,311.60/724.17
  6. Step 6: Final answer
    x = 592.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.