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Finding the Fourth Proportional to 447.41, 617.33 and 300.48

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Solution

The fourth proportional to 447.41, 617.33 and 300.48 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.41 : 617.33 = 300.48 : x
  2. Step 2: Convert to fraction form
    447.41/617.33 = 300.48/x
  3. Step 3: Cross multiply
    447.41x = 617.33 × 300.48
  4. Step 4: Simplify right side
    447.41x = 185,493.75
  5. Step 5: Solve for x
    x = 185,493.75/447.41
  6. Step 6: Final answer
    x = 414.59

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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.