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Finding the Fourth Proportional to 519.89, 717.53 and 496.53

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Solution

The fourth proportional to 519.89, 717.53 and 496.53 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.89 : 717.53 = 496.53 : x
  2. Step 2: Convert to fraction form
    519.89/717.53 = 496.53/x
  3. Step 3: Cross multiply
    519.89x = 717.53 × 496.53
  4. Step 4: Simplify right side
    519.89x = 356,275.48
  5. Step 5: Solve for x
    x = 356,275.48/519.89
  6. Step 6: Final answer
    x = 685.30

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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.