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Finding the Fourth Proportional to 616.96, 851.81 and 476.83

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Solution

The fourth proportional to 616.96, 851.81 and 476.83 is: 658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.96 : 851.81 = 476.83 : x
  2. Step 2: Convert to fraction form
    616.96/851.81 = 476.83/x
  3. Step 3: Cross multiply
    616.96x = 851.81 × 476.83
  4. Step 4: Simplify right side
    616.96x = 406,168.56
  5. Step 5: Solve for x
    x = 406,168.56/616.96
  6. Step 6: Final answer
    x = 658.34

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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.