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Finding the Fourth Proportional to 415.89, 573.78 and 250.15

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Solution

The fourth proportional to 415.89, 573.78 and 250.15 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.89 : 573.78 = 250.15 : x
  2. Step 2: Convert to fraction form
    415.89/573.78 = 250.15/x
  3. Step 3: Cross multiply
    415.89x = 573.78 × 250.15
  4. Step 4: Simplify right side
    415.89x = 143,531.07
  5. Step 5: Solve for x
    x = 143,531.07/415.89
  6. Step 6: Final answer
    x = 345.12

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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.