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Finding the Fourth Proportional to 632.92, 949.38 and 267.76

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Solution

The fourth proportional to 632.92, 949.38 and 267.76 is: 401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.92 : 949.38 = 267.76 : x
  2. Step 2: Convert to fraction form
    632.92/949.38 = 267.76/x
  3. Step 3: Cross multiply
    632.92x = 949.38 × 267.76
  4. Step 4: Simplify right side
    632.92x = 254,205.99
  5. Step 5: Solve for x
    x = 254,205.99/632.92
  6. Step 6: Final answer
    x = 401.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.