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Finding the Fourth Proportional to 641.44, 961.96 and 208.50

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Solution

The fourth proportional to 641.44, 961.96 and 208.50 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.44 : 961.96 = 208.50 : x
  2. Step 2: Convert to fraction form
    641.44/961.96 = 208.50/x
  3. Step 3: Cross multiply
    641.44x = 961.96 × 208.50
  4. Step 4: Simplify right side
    641.44x = 200,568.66
  5. Step 5: Solve for x
    x = 200,568.66/641.44
  6. Step 6: Final answer
    x = 312.68

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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.