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Finding the Fourth Proportional to 422.25, 632.55 and 216.21

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Solution

The fourth proportional to 422.25, 632.55 and 216.21 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 632.55 = 216.21 : x
  2. Step 2: Convert to fraction form
    422.25/632.55 = 216.21/x
  3. Step 3: Cross multiply
    422.25x = 632.55 × 216.21
  4. Step 4: Simplify right side
    422.25x = 136,763.64
  5. Step 5: Solve for x
    x = 136,763.64/422.25
  6. Step 6: Final answer
    x = 323.89

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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.