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Finding the Fourth Proportional to 641.93, 963.16 and 251.96

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Solution

The fourth proportional to 641.93, 963.16 and 251.96 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.93 : 963.16 = 251.96 : x
  2. Step 2: Convert to fraction form
    641.93/963.16 = 251.96/x
  3. Step 3: Cross multiply
    641.93x = 963.16 × 251.96
  4. Step 4: Simplify right side
    641.93x = 242,679.57
  5. Step 5: Solve for x
    x = 242,679.57/641.93
  6. Step 6: Final answer
    x = 378.05

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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.