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Finding the Fourth Proportional to 579.20, 868.68 and 271.08

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Solution

The fourth proportional to 579.20, 868.68 and 271.08 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.20 : 868.68 = 271.08 : x
  2. Step 2: Convert to fraction form
    579.20/868.68 = 271.08/x
  3. Step 3: Cross multiply
    579.20x = 868.68 × 271.08
  4. Step 4: Simplify right side
    579.20x = 235,481.77
  5. Step 5: Solve for x
    x = 235,481.77/579.20
  6. Step 6: Final answer
    x = 406.56

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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.