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Finding the Fourth Proportional to 678.29, 1,016.96 and 267.47

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Solution

The fourth proportional to 678.29, 1,016.96 and 267.47 is: 401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.29 : 1,016.96 = 267.47 : x
  2. Step 2: Convert to fraction form
    678.29/1,016.96 = 267.47/x
  3. Step 3: Cross multiply
    678.29x = 1,016.96 × 267.47
  4. Step 4: Simplify right side
    678.29x = 271,999.87
  5. Step 5: Solve for x
    x = 271,999.87/678.29
  6. Step 6: Final answer
    x = 401.01

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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.