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Finding the Fourth Proportional to 613.92, 921.01 and 267.31

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Solution

The fourth proportional to 613.92, 921.01 and 267.31 is: 401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.92 : 921.01 = 267.31 : x
  2. Step 2: Convert to fraction form
    613.92/921.01 = 267.31/x
  3. Step 3: Cross multiply
    613.92x = 921.01 × 267.31
  4. Step 4: Simplify right side
    613.92x = 246,190.58
  5. Step 5: Solve for x
    x = 246,190.58/613.92
  6. Step 6: Final answer
    x = 401.02

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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.