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Finding the Fourth Proportional to 415.69, 573.62 and 249.89

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Solution

The fourth proportional to 415.69, 573.62 and 249.89 is: 344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.69 : 573.62 = 249.89 : x
  2. Step 2: Convert to fraction form
    415.69/573.62 = 249.89/x
  3. Step 3: Cross multiply
    415.69x = 573.62 × 249.89
  4. Step 4: Simplify right side
    415.69x = 143,337.78
  5. Step 5: Solve for x
    x = 143,337.78/415.69
  6. Step 6: Final answer
    x = 344.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.