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Finding the Fourth Proportional to 632.98, 949.66 and 267.86

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Solution

The fourth proportional to 632.98, 949.66 and 267.86 is: 401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.98 : 949.66 = 267.86 : x
  2. Step 2: Convert to fraction form
    632.98/949.66 = 267.86/x
  3. Step 3: Cross multiply
    632.98x = 949.66 × 267.86
  4. Step 4: Simplify right side
    632.98x = 254,375.93
  5. Step 5: Solve for x
    x = 254,375.93/632.98
  6. Step 6: Final answer
    x = 401.87

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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.