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Finding the Fourth Proportional to 871.46, 1,306.98 and 255.02

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Solution

The fourth proportional to 871.46, 1,306.98 and 255.02 is: 382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.46 : 1,306.98 = 255.02 : x
  2. Step 2: Convert to fraction form
    871.46/1,306.98 = 255.02/x
  3. Step 3: Cross multiply
    871.46x = 1,306.98 × 255.02
  4. Step 4: Simplify right side
    871.46x = 333,306.04
  5. Step 5: Solve for x
    x = 333,306.04/871.46
  6. Step 6: Final answer
    x = 382.47

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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.