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Finding the Fourth Proportional to 724.34, 999.61 and 429.64

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Solution

The fourth proportional to 724.34, 999.61 and 429.64 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.34 : 999.61 = 429.64 : x
  2. Step 2: Convert to fraction form
    724.34/999.61 = 429.64/x
  3. Step 3: Cross multiply
    724.34x = 999.61 × 429.64
  4. Step 4: Simplify right side
    724.34x = 429,468.87
  5. Step 5: Solve for x
    x = 429,468.87/724.34
  6. Step 6: Final answer
    x = 592.91

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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.