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Finding the Fourth Proportional to 632.72, 949.84 and 267.76

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Solution

The fourth proportional to 632.72, 949.84 and 267.76 is: 401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 949.84 = 267.76 : x
  2. Step 2: Convert to fraction form
    632.72/949.84 = 267.76/x
  3. Step 3: Cross multiply
    632.72x = 949.84 × 267.76
  4. Step 4: Simplify right side
    632.72x = 254,329.16
  5. Step 5: Solve for x
    x = 254,329.16/632.72
  6. Step 6: Final answer
    x = 401.96

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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.