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Finding the Fourth Proportional to 422.39, 582.39 and 343.46

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Solution

The fourth proportional to 422.39, 582.39 and 343.46 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.39 : 582.39 = 343.46 : x
  2. Step 2: Convert to fraction form
    422.39/582.39 = 343.46/x
  3. Step 3: Cross multiply
    422.39x = 582.39 × 343.46
  4. Step 4: Simplify right side
    422.39x = 200,024.76
  5. Step 5: Solve for x
    x = 200,024.76/422.39
  6. Step 6: Final answer
    x = 473.56

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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.