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Finding the Fourth Proportional to 300.01, 413.97 and 206.99

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Solution

The fourth proportional to 300.01, 413.97 and 206.99 is: 285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.01 : 413.97 = 206.99 : x
  2. Step 2: Convert to fraction form
    300.01/413.97 = 206.99/x
  3. Step 3: Cross multiply
    300.01x = 413.97 × 206.99
  4. Step 4: Simplify right side
    300.01x = 85,685.58
  5. Step 5: Solve for x
    x = 85,685.58/300.01
  6. Step 6: Final answer
    x = 285.61

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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.