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Finding the Fourth Proportional to 415.25, 572.75 and 249.40

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Solution

The fourth proportional to 415.25, 572.75 and 249.40 is: 343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.25 : 572.75 = 249.40 : x
  2. Step 2: Convert to fraction form
    415.25/572.75 = 249.40/x
  3. Step 3: Cross multiply
    415.25x = 572.75 × 249.40
  4. Step 4: Simplify right side
    415.25x = 142,843.85
  5. Step 5: Solve for x
    x = 142,843.85/415.25
  6. Step 6: Final answer
    x = 343.99

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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.