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Finding the Fourth Proportional to 641.22, 961.97 and 275.80

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Solution

The fourth proportional to 641.22, 961.97 and 275.80 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.22 : 961.97 = 275.80 : x
  2. Step 2: Convert to fraction form
    641.22/961.97 = 275.80/x
  3. Step 3: Cross multiply
    641.22x = 961.97 × 275.80
  4. Step 4: Simplify right side
    641.22x = 265,312.02
  5. Step 5: Solve for x
    x = 265,312.02/641.22
  6. Step 6: Final answer
    x = 413.76

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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.