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Finding the Fourth Proportional to 641.91, 963.06 and 257.43

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Solution

The fourth proportional to 641.91, 963.06 and 257.43 is: 386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.91 : 963.06 = 257.43 : x
  2. Step 2: Convert to fraction form
    641.91/963.06 = 257.43/x
  3. Step 3: Cross multiply
    641.91x = 963.06 × 257.43
  4. Step 4: Simplify right side
    641.91x = 247,920.54
  5. Step 5: Solve for x
    x = 247,920.54/641.91
  6. Step 6: Final answer
    x = 386.22

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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.