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Finding the Fourth Proportional to 614.48, 921.20 and 267.57

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Solution

The fourth proportional to 614.48, 921.20 and 267.57 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.48 : 921.20 = 267.57 : x
  2. Step 2: Convert to fraction form
    614.48/921.20 = 267.57/x
  3. Step 3: Cross multiply
    614.48x = 921.20 × 267.57
  4. Step 4: Simplify right side
    614.48x = 246,484.15
  5. Step 5: Solve for x
    x = 246,484.15/614.48
  6. Step 6: Final answer
    x = 401.13

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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.