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Finding the Fourth Proportional to 422.04, 582.42 and 235.56

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Solution

The fourth proportional to 422.04, 582.42 and 235.56 is: 325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.04 : 582.42 = 235.56 : x
  2. Step 2: Convert to fraction form
    422.04/582.42 = 235.56/x
  3. Step 3: Cross multiply
    422.04x = 582.42 × 235.56
  4. Step 4: Simplify right side
    422.04x = 137,194.86
  5. Step 5: Solve for x
    x = 137,194.86/422.04
  6. Step 6: Final answer
    x = 325.08

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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.