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Finding the Fourth Proportional to 415.68, 573.87 and 249.94

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Solution

The fourth proportional to 415.68, 573.87 and 249.94 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 573.87 = 249.94 : x
  2. Step 2: Convert to fraction form
    415.68/573.87 = 249.94/x
  3. Step 3: Cross multiply
    415.68x = 573.87 × 249.94
  4. Step 4: Simplify right side
    415.68x = 143,432.57
  5. Step 5: Solve for x
    x = 143,432.57/415.68
  6. Step 6: Final answer
    x = 345.05

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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.