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Finding the Fourth Proportional to 375.97, 519.85 and 329.85

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Solution

The fourth proportional to 375.97, 519.85 and 329.85 is: 456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.97 : 519.85 = 329.85 : x
  2. Step 2: Convert to fraction form
    375.97/519.85 = 329.85/x
  3. Step 3: Cross multiply
    375.97x = 519.85 × 329.85
  4. Step 4: Simplify right side
    375.97x = 171,469.10
  5. Step 5: Solve for x
    x = 171,469.10/375.97
  6. Step 6: Final answer
    x = 456.07

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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.