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Finding the Fourth Proportional to 724.53, 999.69 and 429.90

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Solution

The fourth proportional to 724.53, 999.69 and 429.90 is: 593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.53 : 999.69 = 429.90 : x
  2. Step 2: Convert to fraction form
    724.53/999.69 = 429.90/x
  3. Step 3: Cross multiply
    724.53x = 999.69 × 429.90
  4. Step 4: Simplify right side
    724.53x = 429,766.73
  5. Step 5: Solve for x
    x = 429,766.73/724.53
  6. Step 6: Final answer
    x = 593.17

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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.