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Finding the Fourth Proportional to 398.96, 550.26 and 267.92

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Solution

The fourth proportional to 398.96, 550.26 and 267.92 is: 369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.96 : 550.26 = 267.92 : x
  2. Step 2: Convert to fraction form
    398.96/550.26 = 267.92/x
  3. Step 3: Cross multiply
    398.96x = 550.26 × 267.92
  4. Step 4: Simplify right side
    398.96x = 147,425.66
  5. Step 5: Solve for x
    x = 147,425.66/398.96
  6. Step 6: Final answer
    x = 369.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.