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Finding the Fourth Proportional to 642.49, 963.72 and 209.65

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Solution

The fourth proportional to 642.49, 963.72 and 209.65 is: 314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.49 : 963.72 = 209.65 : x
  2. Step 2: Convert to fraction form
    642.49/963.72 = 209.65/x
  3. Step 3: Cross multiply
    642.49x = 963.72 × 209.65
  4. Step 4: Simplify right side
    642.49x = 202,043.90
  5. Step 5: Solve for x
    x = 202,043.90/642.49
  6. Step 6: Final answer
    x = 314.47

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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.