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Finding the Fourth Proportional to 641.34, 961.20 and 275.76

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Solution

The fourth proportional to 641.34, 961.20 and 275.76 is: 413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.34 : 961.20 = 275.76 : x
  2. Step 2: Convert to fraction form
    641.34/961.20 = 275.76/x
  3. Step 3: Cross multiply
    641.34x = 961.20 × 275.76
  4. Step 4: Simplify right side
    641.34x = 265,060.51
  5. Step 5: Solve for x
    x = 265,060.51/641.34
  6. Step 6: Final answer
    x = 413.29

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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.