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Finding the Fourth Proportional to 517.15, 775.89 and 170.47

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Solution

The fourth proportional to 517.15, 775.89 and 170.47 is: 255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.15 : 775.89 = 170.47 : x
  2. Step 2: Convert to fraction form
    517.15/775.89 = 170.47/x
  3. Step 3: Cross multiply
    517.15x = 775.89 × 170.47
  4. Step 4: Simplify right side
    517.15x = 132,265.97
  5. Step 5: Solve for x
    x = 132,265.97/517.15
  6. Step 6: Final answer
    x = 255.76

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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.