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Finding the Fourth Proportional to 415.74, 573.74 and 249.95

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Solution

The fourth proportional to 415.74, 573.74 and 249.95 is: 344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.74 : 573.74 = 249.95 : x
  2. Step 2: Convert to fraction form
    415.74/573.74 = 249.95/x
  3. Step 3: Cross multiply
    415.74x = 573.74 × 249.95
  4. Step 4: Simplify right side
    415.74x = 143,405.61
  5. Step 5: Solve for x
    x = 143,405.61/415.74
  6. Step 6: Final answer
    x = 344.94

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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.