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Finding the Fourth Proportional to 276.91, 415.36 and 84.53

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Solution

The fourth proportional to 276.91, 415.36 and 84.53 is: 126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.91 : 415.36 = 84.53 : x
  2. Step 2: Convert to fraction form
    276.91/415.36 = 84.53/x
  3. Step 3: Cross multiply
    276.91x = 415.36 × 84.53
  4. Step 4: Simplify right side
    276.91x = 35,110.38
  5. Step 5: Solve for x
    x = 35,110.38/276.91
  6. Step 6: Final answer
    x = 126.79

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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.