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Finding the Fourth Proportional to 641.13, 961.82 and 208.32

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Solution

The fourth proportional to 641.13, 961.82 and 208.32 is: 312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.13 : 961.82 = 208.32 : x
  2. Step 2: Convert to fraction form
    641.13/961.82 = 208.32/x
  3. Step 3: Cross multiply
    641.13x = 961.82 × 208.32
  4. Step 4: Simplify right side
    641.13x = 200,366.34
  5. Step 5: Solve for x
    x = 200,366.34/641.13
  6. Step 6: Final answer
    x = 312.52

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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.