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Finding the Fourth Proportional to 422.29, 582.74 and 235.78

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Solution

The fourth proportional to 422.29, 582.74 and 235.78 is: 325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.29 : 582.74 = 235.78 : x
  2. Step 2: Convert to fraction form
    422.29/582.74 = 235.78/x
  3. Step 3: Cross multiply
    422.29x = 582.74 × 235.78
  4. Step 4: Simplify right side
    422.29x = 137,395.52
  5. Step 5: Solve for x
    x = 137,395.52/422.29
  6. Step 6: Final answer
    x = 325.36

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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.