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Finding the Fourth Proportional to 678.16, 1,016.50 and 267.15

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Solution

The fourth proportional to 678.16, 1,016.50 and 267.15 is: 400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.16 : 1,016.50 = 267.15 : x
  2. Step 2: Convert to fraction form
    678.16/1,016.50 = 267.15/x
  3. Step 3: Cross multiply
    678.16x = 1,016.50 × 267.15
  4. Step 4: Simplify right side
    678.16x = 271,557.98
  5. Step 5: Solve for x
    x = 271,557.98/678.16
  6. Step 6: Final answer
    x = 400.43

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Why These Related Problems?

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