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Finding the Fourth Proportional to 447.18, 617.00 and 299.90

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Solution

The fourth proportional to 447.18, 617.00 and 299.90 is: 413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.18 : 617.00 = 299.90 : x
  2. Step 2: Convert to fraction form
    447.18/617.00 = 299.90/x
  3. Step 3: Cross multiply
    447.18x = 617.00 × 299.90
  4. Step 4: Simplify right side
    447.18x = 185,033.72
  5. Step 5: Solve for x
    x = 185,033.72/447.18
  6. Step 6: Final answer
    x = 413.78

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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.