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Finding the Fourth Proportional to 415.71, 621.72 and 269.10

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Solution

The fourth proportional to 415.71, 621.72 and 269.10 is: 402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.71 : 621.72 = 269.10 : x
  2. Step 2: Convert to fraction form
    415.71/621.72 = 269.10/x
  3. Step 3: Cross multiply
    415.71x = 621.72 × 269.10
  4. Step 4: Simplify right side
    415.71x = 167,304.85
  5. Step 5: Solve for x
    x = 167,304.85/415.71
  6. Step 6: Final answer
    x = 402.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.