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Finding the Fourth Proportional to 614.63, 922.32 and 267.97

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Solution

The fourth proportional to 614.63, 922.32 and 267.97 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.63 : 922.32 = 267.97 : x
  2. Step 2: Convert to fraction form
    614.63/922.32 = 267.97/x
  3. Step 3: Cross multiply
    614.63x = 922.32 × 267.97
  4. Step 4: Simplify right side
    614.63x = 247,154.09
  5. Step 5: Solve for x
    x = 247,154.09/614.63
  6. Step 6: Final answer
    x = 402.12

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Why These Related Problems?

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