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Finding the Fourth Proportional to 724.08, 999.34 and 429.42

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Solution

The fourth proportional to 724.08, 999.34 and 429.42 is: 592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.08 : 999.34 = 429.42 : x
  2. Step 2: Convert to fraction form
    724.08/999.34 = 429.42/x
  3. Step 3: Cross multiply
    724.08x = 999.34 × 429.42
  4. Step 4: Simplify right side
    724.08x = 429,136.58
  5. Step 5: Solve for x
    x = 429,136.58/724.08
  6. Step 6: Final answer
    x = 592.66

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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.