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Finding the Fourth Proportional to 614.68, 921.28 and 267.92

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Solution

The fourth proportional to 614.68, 921.28 and 267.92 is: 401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.68 : 921.28 = 267.92 : x
  2. Step 2: Convert to fraction form
    614.68/921.28 = 267.92/x
  3. Step 3: Cross multiply
    614.68x = 921.28 × 267.92
  4. Step 4: Simplify right side
    614.68x = 246,829.34
  5. Step 5: Solve for x
    x = 246,829.34/614.68
  6. Step 6: Final answer
    x = 401.56

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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.