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Finding the Fourth Proportional to 422.24, 582.12 and 343.87

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Solution

The fourth proportional to 422.24, 582.12 and 343.87 is: 474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 582.12 = 343.87 : x
  2. Step 2: Convert to fraction form
    422.24/582.12 = 343.87/x
  3. Step 3: Cross multiply
    422.24x = 582.12 × 343.87
  4. Step 4: Simplify right side
    422.24x = 200,172.15
  5. Step 5: Solve for x
    x = 200,172.15/422.24
  6. Step 6: Final answer
    x = 474.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.