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Finding the Fourth Proportional to 422.69, 634.23 and 206.25

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Solution

The fourth proportional to 422.69, 634.23 and 206.25 is: 309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.69 : 634.23 = 206.25 : x
  2. Step 2: Convert to fraction form
    422.69/634.23 = 206.25/x
  3. Step 3: Cross multiply
    422.69x = 634.23 × 206.25
  4. Step 4: Simplify right side
    422.69x = 130,809.94
  5. Step 5: Solve for x
    x = 130,809.94/422.69
  6. Step 6: Final answer
    x = 309.47

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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.