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Finding the Fourth Proportional to 447.19, 617.33 and 299.92

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Solution

The fourth proportional to 447.19, 617.33 and 299.92 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.19 : 617.33 = 299.92 : x
  2. Step 2: Convert to fraction form
    447.19/617.33 = 299.92/x
  3. Step 3: Cross multiply
    447.19x = 617.33 × 299.92
  4. Step 4: Simplify right side
    447.19x = 185,150.36
  5. Step 5: Solve for x
    x = 185,150.36/447.19
  6. Step 6: Final answer
    x = 414.03

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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.