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Finding the Fourth Proportional to 616.22, 851.11 and 557.20

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Solution

The fourth proportional to 616.22, 851.11 and 557.20 is: 769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.22 : 851.11 = 557.20 : x
  2. Step 2: Convert to fraction form
    616.22/851.11 = 557.20/x
  3. Step 3: Cross multiply
    616.22x = 851.11 × 557.20
  4. Step 4: Simplify right side
    616.22x = 474,233.38
  5. Step 5: Solve for x
    x = 474,233.38/616.22
  6. Step 6: Final answer
    x = 769.58

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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.