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Finding the Fourth Proportional to 394.86, 589.42 and 346.26

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Solution

The fourth proportional to 394.86, 589.42 and 346.26 is: 516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.86 : 589.42 = 346.26 : x
  2. Step 2: Convert to fraction form
    394.86/589.42 = 346.26/x
  3. Step 3: Cross multiply
    394.86x = 589.42 × 346.26
  4. Step 4: Simplify right side
    394.86x = 204,092.57
  5. Step 5: Solve for x
    x = 204,092.57/394.86
  6. Step 6: Final answer
    x = 516.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.