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Finding the Fourth Proportional to 614.29, 921.10 and 243.72

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Solution

The fourth proportional to 614.29, 921.10 and 243.72 is: 365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.29 : 921.10 = 243.72 : x
  2. Step 2: Convert to fraction form
    614.29/921.10 = 243.72/x
  3. Step 3: Cross multiply
    614.29x = 921.10 × 243.72
  4. Step 4: Simplify right side
    614.29x = 224,489.27
  5. Step 5: Solve for x
    x = 224,489.27/614.29
  6. Step 6: Final answer
    x = 365.45

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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.