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Finding the Fourth Proportional to 517.21, 775.76 and 170.54

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Solution

The fourth proportional to 517.21, 775.76 and 170.54 is: 255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.21 : 775.76 = 170.54 : x
  2. Step 2: Convert to fraction form
    517.21/775.76 = 170.54/x
  3. Step 3: Cross multiply
    517.21x = 775.76 × 170.54
  4. Step 4: Simplify right side
    517.21x = 132,294.23
  5. Step 5: Solve for x
    x = 132,294.23/517.21
  6. Step 6: Final answer
    x = 255.79

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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.