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Finding the Fourth Proportional to 641.44, 961.98 and 276.18

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Solution

The fourth proportional to 641.44, 961.98 and 276.18 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.44 : 961.98 = 276.18 : x
  2. Step 2: Convert to fraction form
    641.44/961.98 = 276.18/x
  3. Step 3: Cross multiply
    641.44x = 961.98 × 276.18
  4. Step 4: Simplify right side
    641.44x = 265,679.64
  5. Step 5: Solve for x
    x = 265,679.64/641.44
  6. Step 6: Final answer
    x = 414.19

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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.