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Finding the Fourth Proportional to 616.92, 851.11 and 459.27

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Solution

The fourth proportional to 616.92, 851.11 and 459.27 is: 633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 851.11 = 459.27 : x
  2. Step 2: Convert to fraction form
    616.92/851.11 = 459.27/x
  3. Step 3: Cross multiply
    616.92x = 851.11 × 459.27
  4. Step 4: Simplify right side
    616.92x = 390,888.14
  5. Step 5: Solve for x
    x = 390,888.14/616.92
  6. Step 6: Final answer
    x = 633.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.