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Finding the Fourth Proportional to 517.75, 775.20 and 270.43

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Solution

The fourth proportional to 517.75, 775.20 and 270.43 is: 404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.75 : 775.20 = 270.43 : x
  2. Step 2: Convert to fraction form
    517.75/775.20 = 270.43/x
  3. Step 3: Cross multiply
    517.75x = 775.20 × 270.43
  4. Step 4: Simplify right side
    517.75x = 209,637.34
  5. Step 5: Solve for x
    x = 209,637.34/517.75
  6. Step 6: Final answer
    x = 404.90

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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.