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Finding the Fourth Proportional to 600.50, 827.70 and 517.16

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Solution

The fourth proportional to 600.50, 827.70 and 517.16 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.50 : 827.70 = 517.16 : x
  2. Step 2: Convert to fraction form
    600.50/827.70 = 517.16/x
  3. Step 3: Cross multiply
    600.50x = 827.70 × 517.16
  4. Step 4: Simplify right side
    600.50x = 428,053.33
  5. Step 5: Solve for x
    x = 428,053.33/600.50
  6. Step 6: Final answer
    x = 712.83

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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.