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Finding the Fourth Proportional to 519.97, 717.56 and 310.24

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Solution

The fourth proportional to 519.97, 717.56 and 310.24 is: 428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.97 : 717.56 = 310.24 : x
  2. Step 2: Convert to fraction form
    519.97/717.56 = 310.24/x
  3. Step 3: Cross multiply
    519.97x = 717.56 × 310.24
  4. Step 4: Simplify right side
    519.97x = 222,610.68
  5. Step 5: Solve for x
    x = 222,610.68/519.97
  6. Step 6: Final answer
    x = 428.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.