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Finding the Fourth Proportional to 422.45, 632.12 and 267.65

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Solution

The fourth proportional to 422.45, 632.12 and 267.65 is: 400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.45 : 632.12 = 267.65 : x
  2. Step 2: Convert to fraction form
    422.45/632.12 = 267.65/x
  3. Step 3: Cross multiply
    422.45x = 632.12 × 267.65
  4. Step 4: Simplify right side
    422.45x = 169,186.92
  5. Step 5: Solve for x
    x = 169,186.92/422.45
  6. Step 6: Final answer
    x = 400.49

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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.