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Finding the Fourth Proportional to 616.01, 849.13 and 516.38

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Solution

The fourth proportional to 616.01, 849.13 and 516.38 is: 711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.01 : 849.13 = 516.38 : x
  2. Step 2: Convert to fraction form
    616.01/849.13 = 516.38/x
  3. Step 3: Cross multiply
    616.01x = 849.13 × 516.38
  4. Step 4: Simplify right side
    616.01x = 438,471.12
  5. Step 5: Solve for x
    x = 438,471.12/616.01
  6. Step 6: Final answer
    x = 711.80

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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.