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Finding the Fourth Proportional to 632.80, 949.29 and 267.68

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Solution

The fourth proportional to 632.80, 949.29 and 267.68 is: 401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.80 : 949.29 = 267.68 : x
  2. Step 2: Convert to fraction form
    632.80/949.29 = 267.68/x
  3. Step 3: Cross multiply
    632.80x = 949.29 × 267.68
  4. Step 4: Simplify right side
    632.80x = 254,105.95
  5. Step 5: Solve for x
    x = 254,105.95/632.80
  6. Step 6: Final answer
    x = 401.56

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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.