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Finding the Fourth Proportional to 394.36, 590.11 and 343.19

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Solution

The fourth proportional to 394.36, 590.11 and 343.19 is: 513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.36 : 590.11 = 343.19 : x
  2. Step 2: Convert to fraction form
    394.36/590.11 = 343.19/x
  3. Step 3: Cross multiply
    394.36x = 590.11 × 343.19
  4. Step 4: Simplify right side
    394.36x = 202,519.85
  5. Step 5: Solve for x
    x = 202,519.85/394.36
  6. Step 6: Final answer
    x = 513.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.