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Finding the Fourth Proportional to 394.97, 591.75 and 329.57

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Solution

The fourth proportional to 394.97, 591.75 and 329.57 is: 493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.97 : 591.75 = 329.57 : x
  2. Step 2: Convert to fraction form
    394.97/591.75 = 329.57/x
  3. Step 3: Cross multiply
    394.97x = 591.75 × 329.57
  4. Step 4: Simplify right side
    394.97x = 195,023.05
  5. Step 5: Solve for x
    x = 195,023.05/394.97
  6. Step 6: Final answer
    x = 493.77

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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.