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Finding the Fourth Proportional to 414.38, 571.61 and 267.09

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Solution

The fourth proportional to 414.38, 571.61 and 267.09 is: 368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 571.61 = 267.09 : x
  2. Step 2: Convert to fraction form
    414.38/571.61 = 267.09/x
  3. Step 3: Cross multiply
    414.38x = 571.61 × 267.09
  4. Step 4: Simplify right side
    414.38x = 152,669.98
  5. Step 5: Solve for x
    x = 152,669.98/414.38
  6. Step 6: Final answer
    x = 368.43

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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.