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Finding the Fourth Proportional to 415.38, 573.15 and 249.72

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Solution

The fourth proportional to 415.38, 573.15 and 249.72 is: 344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 573.15 = 249.72 : x
  2. Step 2: Convert to fraction form
    415.38/573.15 = 249.72/x
  3. Step 3: Cross multiply
    415.38x = 573.15 × 249.72
  4. Step 4: Simplify right side
    415.38x = 143,127.02
  5. Step 5: Solve for x
    x = 143,127.02/415.38
  6. Step 6: Final answer
    x = 344.57

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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.