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Finding the Fourth Proportional to 862.87, 1,294.44 and 315.22

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Solution

The fourth proportional to 862.87, 1,294.44 and 315.22 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.87 : 1,294.44 = 315.22 : x
  2. Step 2: Convert to fraction form
    862.87/1,294.44 = 315.22/x
  3. Step 3: Cross multiply
    862.87x = 1,294.44 × 315.22
  4. Step 4: Simplify right side
    862.87x = 408,033.38
  5. Step 5: Solve for x
    x = 408,033.38/862.87
  6. Step 6: Final answer
    x = 472.88

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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.