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Finding the Fourth Proportional to 422.57, 633.42 and 205.88

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Solution

The fourth proportional to 422.57, 633.42 and 205.88 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.57 : 633.42 = 205.88 : x
  2. Step 2: Convert to fraction form
    422.57/633.42 = 205.88/x
  3. Step 3: Cross multiply
    422.57x = 633.42 × 205.88
  4. Step 4: Simplify right side
    422.57x = 130,408.51
  5. Step 5: Solve for x
    x = 130,408.51/422.57
  6. Step 6: Final answer
    x = 308.61

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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.