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Finding the Fourth Proportional to 267.48, 398.28 and 262.92

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Solution

The fourth proportional to 267.48, 398.28 and 262.92 is: 391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 398.28 = 262.92 : x
  2. Step 2: Convert to fraction form
    267.48/398.28 = 262.92/x
  3. Step 3: Cross multiply
    267.48x = 398.28 × 262.92
  4. Step 4: Simplify right side
    267.48x = 104,715.78
  5. Step 5: Solve for x
    x = 104,715.78/267.48
  6. Step 6: Final answer
    x = 391.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.