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Finding the Fourth Proportional to 724.10, 998.92 and 429.14

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Solution

The fourth proportional to 724.10, 998.92 and 429.14 is: 592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.10 : 998.92 = 429.14 : x
  2. Step 2: Convert to fraction form
    724.10/998.92 = 429.14/x
  3. Step 3: Cross multiply
    724.10x = 998.92 × 429.14
  4. Step 4: Simplify right side
    724.10x = 428,670.46
  5. Step 5: Solve for x
    x = 428,670.46/724.10
  6. Step 6: Final answer
    x = 592.01

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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.