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Finding the Fourth Proportional to 871.38, 1,306.94 and 255.04

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Solution

The fourth proportional to 871.38, 1,306.94 and 255.04 is: 382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.38 : 1,306.94 = 255.04 : x
  2. Step 2: Convert to fraction form
    871.38/1,306.94 = 255.04/x
  3. Step 3: Cross multiply
    871.38x = 1,306.94 × 255.04
  4. Step 4: Simplify right side
    871.38x = 333,317.44
  5. Step 5: Solve for x
    x = 333,317.44/871.38
  6. Step 6: Final answer
    x = 382.52

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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.