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Finding the Fourth Proportional to 422.82, 634.29 and 206.25

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Solution

The fourth proportional to 422.82, 634.29 and 206.25 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.82 : 634.29 = 206.25 : x
  2. Step 2: Convert to fraction form
    422.82/634.29 = 206.25/x
  3. Step 3: Cross multiply
    422.82x = 634.29 × 206.25
  4. Step 4: Simplify right side
    422.82x = 130,822.31
  5. Step 5: Solve for x
    x = 130,822.31/422.82
  6. Step 6: Final answer
    x = 309.40

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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.