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Finding the Fourth Proportional to 642.60, 963.72 and 209.88

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Solution

The fourth proportional to 642.60, 963.72 and 209.88 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.60 : 963.72 = 209.88 : x
  2. Step 2: Convert to fraction form
    642.60/963.72 = 209.88/x
  3. Step 3: Cross multiply
    642.60x = 963.72 × 209.88
  4. Step 4: Simplify right side
    642.60x = 202,265.55
  5. Step 5: Solve for x
    x = 202,265.55/642.60
  6. Step 6: Final answer
    x = 314.76

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Why These Related Problems?

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