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Finding the Fourth Proportional to 614.52, 921.18 and 229.56

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Solution

The fourth proportional to 614.52, 921.18 and 229.56 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 921.18 = 229.56 : x
  2. Step 2: Convert to fraction form
    614.52/921.18 = 229.56/x
  3. Step 3: Cross multiply
    614.52x = 921.18 × 229.56
  4. Step 4: Simplify right side
    614.52x = 211,466.08
  5. Step 5: Solve for x
    x = 211,466.08/614.52
  6. Step 6: Final answer
    x = 344.12

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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.