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Finding the Fourth Proportional to 378.82, 523.07 and 329.20

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Solution

The fourth proportional to 378.82, 523.07 and 329.20 is: 454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.82 : 523.07 = 329.20 : x
  2. Step 2: Convert to fraction form
    378.82/523.07 = 329.20/x
  3. Step 3: Cross multiply
    378.82x = 523.07 × 329.20
  4. Step 4: Simplify right side
    378.82x = 172,194.64
  5. Step 5: Solve for x
    x = 172,194.64/378.82
  6. Step 6: Final answer
    x = 454.56

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Why These Related Problems?

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