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Finding the Fourth Proportional to 641.98, 963.06 and 209.14

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Solution

The fourth proportional to 641.98, 963.06 and 209.14 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.98 : 963.06 = 209.14 : x
  2. Step 2: Convert to fraction form
    641.98/963.06 = 209.14/x
  3. Step 3: Cross multiply
    641.98x = 963.06 × 209.14
  4. Step 4: Simplify right side
    641.98x = 201,414.37
  5. Step 5: Solve for x
    x = 201,414.37/641.98
  6. Step 6: Final answer
    x = 313.74

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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.