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Finding the Fourth Proportional to 422.09, 582.45 and 235.57

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Solution

The fourth proportional to 422.09, 582.45 and 235.57 is: 325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.09 : 582.45 = 235.57 : x
  2. Step 2: Convert to fraction form
    422.09/582.45 = 235.57/x
  3. Step 3: Cross multiply
    422.09x = 582.45 × 235.57
  4. Step 4: Simplify right side
    422.09x = 137,207.75
  5. Step 5: Solve for x
    x = 137,207.75/422.09
  6. Step 6: Final answer
    x = 325.07

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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.