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Finding the Fourth Proportional to 415.11, 572.83 and 267.49

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Solution

The fourth proportional to 415.11, 572.83 and 267.49 is: 369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.11 : 572.83 = 267.49 : x
  2. Step 2: Convert to fraction form
    415.11/572.83 = 267.49/x
  3. Step 3: Cross multiply
    415.11x = 572.83 × 267.49
  4. Step 4: Simplify right side
    415.11x = 153,226.30
  5. Step 5: Solve for x
    x = 153,226.30/415.11
  6. Step 6: Final answer
    x = 369.12

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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.