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Finding the Fourth Proportional to 678.28, 1,016.80 and 267.71

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Solution

The fourth proportional to 678.28, 1,016.80 and 267.71 is: 401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.28 : 1,016.80 = 267.71 : x
  2. Step 2: Convert to fraction form
    678.28/1,016.80 = 267.71/x
  3. Step 3: Cross multiply
    678.28x = 1,016.80 × 267.71
  4. Step 4: Simplify right side
    678.28x = 272,207.53
  5. Step 5: Solve for x
    x = 272,207.53/678.28
  6. Step 6: Final answer
    x = 401.32

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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.