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Finding the Fourth Proportional to 422.63, 634.26 and 293.54

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Solution

The fourth proportional to 422.63, 634.26 and 293.54 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 634.26 = 293.54 : x
  2. Step 2: Convert to fraction form
    422.63/634.26 = 293.54/x
  3. Step 3: Cross multiply
    422.63x = 634.26 × 293.54
  4. Step 4: Simplify right side
    422.63x = 186,178.61
  5. Step 5: Solve for x
    x = 186,178.61/422.63
  6. Step 6: Final answer
    x = 440.53

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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.