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Finding the Fourth Proportional to 961.28, 1,441.72 and 267.96

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Solution

The fourth proportional to 961.28, 1,441.72 and 267.96 is: 401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.28 : 1,441.72 = 267.96 : x
  2. Step 2: Convert to fraction form
    961.28/1,441.72 = 267.96/x
  3. Step 3: Cross multiply
    961.28x = 1,441.72 × 267.96
  4. Step 4: Simplify right side
    961.28x = 386,323.29
  5. Step 5: Solve for x
    x = 386,323.29/961.28
  6. Step 6: Final answer
    x = 401.88

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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.