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Finding the Fourth Proportional to 641.69, 961.65 and 275.97

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Solution

The fourth proportional to 641.69, 961.65 and 275.97 is: 413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.69 : 961.65 = 275.97 : x
  2. Step 2: Convert to fraction form
    641.69/961.65 = 275.97/x
  3. Step 3: Cross multiply
    641.69x = 961.65 × 275.97
  4. Step 4: Simplify right side
    641.69x = 265,386.55
  5. Step 5: Solve for x
    x = 265,386.55/641.69
  6. Step 6: Final answer
    x = 413.58

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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.