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Finding the Fourth Proportional to 415.22, 573.09 and 249.44

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Solution

The fourth proportional to 415.22, 573.09 and 249.44 is: 344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 573.09 = 249.44 : x
  2. Step 2: Convert to fraction form
    415.22/573.09 = 249.44/x
  3. Step 3: Cross multiply
    415.22x = 573.09 × 249.44
  4. Step 4: Simplify right side
    415.22x = 142,951.57
  5. Step 5: Solve for x
    x = 142,951.57/415.22
  6. Step 6: Final answer
    x = 344.28

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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.