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Finding the Fourth Proportional to 724.26, 999.26 and 429.60

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Solution

The fourth proportional to 724.26, 999.26 and 429.60 is: 592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 999.26 = 429.60 : x
  2. Step 2: Convert to fraction form
    724.26/999.26 = 429.60/x
  3. Step 3: Cross multiply
    724.26x = 999.26 × 429.60
  4. Step 4: Simplify right side
    724.26x = 429,282.10
  5. Step 5: Solve for x
    x = 429,282.10/724.26
  6. Step 6: Final answer
    x = 592.72

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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.