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Finding the Fourth Proportional to 617.92, 927.14 and 344.12

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Solution

The fourth proportional to 617.92, 927.14 and 344.12 is: 516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.92 : 927.14 = 344.12 : x
  2. Step 2: Convert to fraction form
    617.92/927.14 = 344.12/x
  3. Step 3: Cross multiply
    617.92x = 927.14 × 344.12
  4. Step 4: Simplify right side
    617.92x = 319,047.42
  5. Step 5: Solve for x
    x = 319,047.42/617.92
  6. Step 6: Final answer
    x = 516.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.