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Finding the Fourth Proportional to 422.61, 634.11 and 205.93

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Solution

The fourth proportional to 422.61, 634.11 and 205.93 is: 308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.61 : 634.11 = 205.93 : x
  2. Step 2: Convert to fraction form
    422.61/634.11 = 205.93/x
  3. Step 3: Cross multiply
    422.61x = 634.11 × 205.93
  4. Step 4: Simplify right side
    422.61x = 130,582.27
  5. Step 5: Solve for x
    x = 130,582.27/422.61
  6. Step 6: Final answer
    x = 308.99

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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.