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Finding the Fourth Proportional to 642.52, 963.85 and 209.67

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Solution

The fourth proportional to 642.52, 963.85 and 209.67 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.52 : 963.85 = 209.67 : x
  2. Step 2: Convert to fraction form
    642.52/963.85 = 209.67/x
  3. Step 3: Cross multiply
    642.52x = 963.85 × 209.67
  4. Step 4: Simplify right side
    642.52x = 202,092.11
  5. Step 5: Solve for x
    x = 202,092.11/642.52
  6. Step 6: Final answer
    x = 314.53

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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.