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Finding the Fourth Proportional to 966.97, 1,450.23 and 273.71

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Solution

The fourth proportional to 966.97, 1,450.23 and 273.71 is: 410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.97 : 1,450.23 = 273.71 : x
  2. Step 2: Convert to fraction form
    966.97/1,450.23 = 273.71/x
  3. Step 3: Cross multiply
    966.97x = 1,450.23 × 273.71
  4. Step 4: Simplify right side
    966.97x = 396,942.45
  5. Step 5: Solve for x
    x = 396,942.45/966.97
  6. Step 6: Final answer
    x = 410.50

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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.