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Finding the Fourth Proportional to 422.10, 632.56 and 216.23

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Solution

The fourth proportional to 422.10, 632.56 and 216.23 is: 324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.10 : 632.56 = 216.23 : x
  2. Step 2: Convert to fraction form
    422.10/632.56 = 216.23/x
  3. Step 3: Cross multiply
    422.10x = 632.56 × 216.23
  4. Step 4: Simplify right side
    422.10x = 136,778.45
  5. Step 5: Solve for x
    x = 136,778.45/422.10
  6. Step 6: Final answer
    x = 324.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.