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Finding the Fourth Proportional to 422.05, 582.37 and 235.52

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Solution

The fourth proportional to 422.05, 582.37 and 235.52 is: 324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.05 : 582.37 = 235.52 : x
  2. Step 2: Convert to fraction form
    422.05/582.37 = 235.52/x
  3. Step 3: Cross multiply
    422.05x = 582.37 × 235.52
  4. Step 4: Simplify right side
    422.05x = 137,157.16
  5. Step 5: Solve for x
    x = 137,157.16/422.05
  6. Step 6: Final answer
    x = 324.98

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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.