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Finding the Fourth Proportional to 422.24, 631.92 and 326.24

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Solution

The fourth proportional to 422.24, 631.92 and 326.24 is: 488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 631.92 = 326.24 : x
  2. Step 2: Convert to fraction form
    422.24/631.92 = 326.24/x
  3. Step 3: Cross multiply
    422.24x = 631.92 × 326.24
  4. Step 4: Simplify right side
    422.24x = 206,157.58
  5. Step 5: Solve for x
    x = 206,157.58/422.24
  6. Step 6: Final answer
    x = 488.25

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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.