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Finding the Fourth Proportional to 724.28, 999.35 and 429.65

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Solution

The fourth proportional to 724.28, 999.35 and 429.65 is: 592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.28 : 999.35 = 429.65 : x
  2. Step 2: Convert to fraction form
    724.28/999.35 = 429.65/x
  3. Step 3: Cross multiply
    724.28x = 999.35 × 429.65
  4. Step 4: Simplify right side
    724.28x = 429,365.73
  5. Step 5: Solve for x
    x = 429,365.73/724.28
  6. Step 6: Final answer
    x = 592.82

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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.