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Finding the Fourth Proportional to 378.38, 522.78 and 329.24

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Solution

The fourth proportional to 378.38, 522.78 and 329.24 is: 454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 522.78 = 329.24 : x
  2. Step 2: Convert to fraction form
    378.38/522.78 = 329.24/x
  3. Step 3: Cross multiply
    378.38x = 522.78 × 329.24
  4. Step 4: Simplify right side
    378.38x = 172,120.09
  5. Step 5: Solve for x
    x = 172,120.09/378.38
  6. Step 6: Final answer
    x = 454.89

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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.