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Finding the Fourth Proportional to 641.27, 961.77 and 276.23

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Solution

The fourth proportional to 641.27, 961.77 and 276.23 is: 414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.27 : 961.77 = 276.23 : x
  2. Step 2: Convert to fraction form
    641.27/961.77 = 276.23/x
  3. Step 3: Cross multiply
    641.27x = 961.77 × 276.23
  4. Step 4: Simplify right side
    641.27x = 265,669.73
  5. Step 5: Solve for x
    x = 265,669.73/641.27
  6. Step 6: Final answer
    x = 414.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.