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Finding the Fourth Proportional to 616.98, 851.24 and 539.08

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Solution

The fourth proportional to 616.98, 851.24 and 539.08 is: 743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.98 : 851.24 = 539.08 : x
  2. Step 2: Convert to fraction form
    616.98/851.24 = 539.08/x
  3. Step 3: Cross multiply
    616.98x = 851.24 × 539.08
  4. Step 4: Simplify right side
    616.98x = 458,886.46
  5. Step 5: Solve for x
    x = 458,886.46/616.98
  6. Step 6: Final answer
    x = 743.76

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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.