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Finding the Fourth Proportional to 724.30, 999.45 and 429.58

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Solution

The fourth proportional to 724.30, 999.45 and 429.58 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.30 : 999.45 = 429.58 : x
  2. Step 2: Convert to fraction form
    724.30/999.45 = 429.58/x
  3. Step 3: Cross multiply
    724.30x = 999.45 × 429.58
  4. Step 4: Simplify right side
    724.30x = 429,343.73
  5. Step 5: Solve for x
    x = 429,343.73/724.30
  6. Step 6: Final answer
    x = 592.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.