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Finding the Fourth Proportional to 422.33, 633.49 and 216.79

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Solution

The fourth proportional to 422.33, 633.49 and 216.79 is: 325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.33 : 633.49 = 216.79 : x
  2. Step 2: Convert to fraction form
    422.33/633.49 = 216.79/x
  3. Step 3: Cross multiply
    422.33x = 633.49 × 216.79
  4. Step 4: Simplify right side
    422.33x = 137,332.17
  5. Step 5: Solve for x
    x = 137,332.17/422.33
  6. Step 6: Final answer
    x = 325.18

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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.