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Finding the Fourth Proportional to 415.24, 572.94 and 267.82

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Solution

The fourth proportional to 415.24, 572.94 and 267.82 is: 369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 572.94 = 267.82 : x
  2. Step 2: Convert to fraction form
    415.24/572.94 = 267.82/x
  3. Step 3: Cross multiply
    415.24x = 572.94 × 267.82
  4. Step 4: Simplify right side
    415.24x = 153,443.36
  5. Step 5: Solve for x
    x = 153,443.36/415.24
  6. Step 6: Final answer
    x = 369.53

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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.