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Finding the Fourth Proportional to 642.68, 963.89 and 209.73

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Solution

The fourth proportional to 642.68, 963.89 and 209.73 is: 314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.68 : 963.89 = 209.73 : x
  2. Step 2: Convert to fraction form
    642.68/963.89 = 209.73/x
  3. Step 3: Cross multiply
    642.68x = 963.89 × 209.73
  4. Step 4: Simplify right side
    642.68x = 202,155.60
  5. Step 5: Solve for x
    x = 202,155.60/642.68
  6. Step 6: Final answer
    x = 314.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.