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Finding the Fourth Proportional to 394.53, 591.33 and 348.97

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Solution

The fourth proportional to 394.53, 591.33 and 348.97 is: 523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.53 : 591.33 = 348.97 : x
  2. Step 2: Convert to fraction form
    394.53/591.33 = 348.97/x
  3. Step 3: Cross multiply
    394.53x = 591.33 × 348.97
  4. Step 4: Simplify right side
    394.53x = 206,356.43
  5. Step 5: Solve for x
    x = 206,356.43/394.53
  6. Step 6: Final answer
    x = 523.04

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Why These Related Problems?

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