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Finding the Fourth Proportional to 422.25, 582.64 and 235.73

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Solution

The fourth proportional to 422.25, 582.64 and 235.73 is: 325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 582.64 = 235.73 : x
  2. Step 2: Convert to fraction form
    422.25/582.64 = 235.73/x
  3. Step 3: Cross multiply
    422.25x = 582.64 × 235.73
  4. Step 4: Simplify right side
    422.25x = 137,346.31
  5. Step 5: Solve for x
    x = 137,346.31/422.25
  6. Step 6: Final answer
    x = 325.27

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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.