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Finding the Fourth Proportional to 422.78, 634.24 and 206.38

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Solution

The fourth proportional to 422.78, 634.24 and 206.38 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 634.24 = 206.38 : x
  2. Step 2: Convert to fraction form
    422.78/634.24 = 206.38/x
  3. Step 3: Cross multiply
    422.78x = 634.24 × 206.38
  4. Step 4: Simplify right side
    422.78x = 130,893.12
  5. Step 5: Solve for x
    x = 130,893.12/422.78
  6. Step 6: Final answer
    x = 309.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.