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Finding the Fourth Proportional to 447.49, 617.34 and 299.98

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Solution

The fourth proportional to 447.49, 617.34 and 299.98 is: 413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.49 : 617.34 = 299.98 : x
  2. Step 2: Convert to fraction form
    447.49/617.34 = 299.98/x
  3. Step 3: Cross multiply
    447.49x = 617.34 × 299.98
  4. Step 4: Simplify right side
    447.49x = 185,189.65
  5. Step 5: Solve for x
    x = 185,189.65/447.49
  6. Step 6: Final answer
    x = 413.84

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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.