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Finding the Fourth Proportional to 641.14, 961.77 and 275.84

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Solution

The fourth proportional to 641.14, 961.77 and 275.84 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.14 : 961.77 = 275.84 : x
  2. Step 2: Convert to fraction form
    641.14/961.77 = 275.84/x
  3. Step 3: Cross multiply
    641.14x = 961.77 × 275.84
  4. Step 4: Simplify right side
    641.14x = 265,294.64
  5. Step 5: Solve for x
    x = 265,294.64/641.14
  6. Step 6: Final answer
    x = 413.79

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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.