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Finding the Fourth Proportional to 600.14, 827.14 and 516.90

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Solution

The fourth proportional to 600.14, 827.14 and 516.90 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.14 : 827.14 = 516.90 : x
  2. Step 2: Convert to fraction form
    600.14/827.14 = 516.90/x
  3. Step 3: Cross multiply
    600.14x = 827.14 × 516.90
  4. Step 4: Simplify right side
    600.14x = 427,548.67
  5. Step 5: Solve for x
    x = 427,548.67/600.14
  6. Step 6: Final answer
    x = 712.41

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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.