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Finding the Fourth Proportional to 422.73, 634.46 and 292.46

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Solution

The fourth proportional to 422.73, 634.46 and 292.46 is: 438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.73 : 634.46 = 292.46 : x
  2. Step 2: Convert to fraction form
    422.73/634.46 = 292.46/x
  3. Step 3: Cross multiply
    422.73x = 634.46 × 292.46
  4. Step 4: Simplify right side
    422.73x = 185,549.54
  5. Step 5: Solve for x
    x = 185,549.54/422.73
  6. Step 6: Final answer
    x = 438.93

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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.