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Finding the Fourth Proportional to 447.20, 617.52 and 329.84

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Solution

The fourth proportional to 447.20, 617.52 and 329.84 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.20 : 617.52 = 329.84 : x
  2. Step 2: Convert to fraction form
    447.20/617.52 = 329.84/x
  3. Step 3: Cross multiply
    447.20x = 617.52 × 329.84
  4. Step 4: Simplify right side
    447.20x = 203,682.80
  5. Step 5: Solve for x
    x = 203,682.80/447.20
  6. Step 6: Final answer
    x = 455.46

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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.