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Finding the Fourth Proportional to 517.24, 713.38 and 500.28

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Solution

The fourth proportional to 517.24, 713.38 and 500.28 is: 689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 713.38 = 500.28 : x
  2. Step 2: Convert to fraction form
    517.24/713.38 = 500.28/x
  3. Step 3: Cross multiply
    517.24x = 713.38 × 500.28
  4. Step 4: Simplify right side
    517.24x = 356,889.75
  5. Step 5: Solve for x
    x = 356,889.75/517.24
  6. Step 6: Final answer
    x = 689.99

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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.