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Finding the Fourth Proportional to 422.96, 634.49 and 206.38

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Solution

The fourth proportional to 422.96, 634.49 and 206.38 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.96 : 634.49 = 206.38 : x
  2. Step 2: Convert to fraction form
    422.96/634.49 = 206.38/x
  3. Step 3: Cross multiply
    422.96x = 634.49 × 206.38
  4. Step 4: Simplify right side
    422.96x = 130,941.84
  5. Step 5: Solve for x
    x = 130,941.84/422.96
  6. Step 6: Final answer
    x = 309.58

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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.