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Finding the Fourth Proportional to 632.72, 949.14 and 267.28

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Solution

The fourth proportional to 632.72, 949.14 and 267.28 is: 400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 949.14 = 267.28 : x
  2. Step 2: Convert to fraction form
    632.72/949.14 = 267.28/x
  3. Step 3: Cross multiply
    632.72x = 949.14 × 267.28
  4. Step 4: Simplify right side
    632.72x = 253,686.14
  5. Step 5: Solve for x
    x = 253,686.14/632.72
  6. Step 6: Final answer
    x = 400.95

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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.