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Finding the Fourth Proportional to 871.43, 1,306.77 and 254.99

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Solution

The fourth proportional to 871.43, 1,306.77 and 254.99 is: 382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.43 : 1,306.77 = 254.99 : x
  2. Step 2: Convert to fraction form
    871.43/1,306.77 = 254.99/x
  3. Step 3: Cross multiply
    871.43x = 1,306.77 × 254.99
  4. Step 4: Simplify right side
    871.43x = 333,216.55
  5. Step 5: Solve for x
    x = 333,216.55/871.43
  6. Step 6: Final answer
    x = 382.38

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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.