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Finding the Fourth Proportional to 422.07, 582.38 and 235.50

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Solution

The fourth proportional to 422.07, 582.38 and 235.50 is: 324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.07 : 582.38 = 235.50 : x
  2. Step 2: Convert to fraction form
    422.07/582.38 = 235.50/x
  3. Step 3: Cross multiply
    422.07x = 582.38 × 235.50
  4. Step 4: Simplify right side
    422.07x = 137,149.31
  5. Step 5: Solve for x
    x = 137,149.31/422.07
  6. Step 6: Final answer
    x = 324.94

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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.