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Finding the Fourth Proportional to 422.52, 582.87 and 324.09

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Solution

The fourth proportional to 422.52, 582.87 and 324.09 is: 447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.52 : 582.87 = 324.09 : x
  2. Step 2: Convert to fraction form
    422.52/582.87 = 324.09/x
  3. Step 3: Cross multiply
    422.52x = 582.87 × 324.09
  4. Step 4: Simplify right side
    422.52x = 188,902.34
  5. Step 5: Solve for x
    x = 188,902.34/422.52
  6. Step 6: Final answer
    x = 447.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.