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Finding the Fourth Proportional to 277.38, 414.18 and 267.12

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Solution

The fourth proportional to 277.38, 414.18 and 267.12 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 414.18 = 267.12 : x
  2. Step 2: Convert to fraction form
    277.38/414.18 = 267.12/x
  3. Step 3: Cross multiply
    277.38x = 414.18 × 267.12
  4. Step 4: Simplify right side
    277.38x = 110,635.76
  5. Step 5: Solve for x
    x = 110,635.76/277.38
  6. Step 6: Final answer
    x = 398.86

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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.