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Finding the Fourth Proportional to 641.18, 961.71 and 275.90

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Solution

The fourth proportional to 641.18, 961.71 and 275.90 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.18 : 961.71 = 275.90 : x
  2. Step 2: Convert to fraction form
    641.18/961.71 = 275.90/x
  3. Step 3: Cross multiply
    641.18x = 961.71 × 275.90
  4. Step 4: Simplify right side
    641.18x = 265,335.79
  5. Step 5: Solve for x
    x = 265,335.79/641.18
  6. Step 6: Final answer
    x = 413.82

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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.