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Finding the Fourth Proportional to 299.84, 413.51 and 206.43

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Solution

The fourth proportional to 299.84, 413.51 and 206.43 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 413.51 = 206.43 : x
  2. Step 2: Convert to fraction form
    299.84/413.51 = 206.43/x
  3. Step 3: Cross multiply
    299.84x = 413.51 × 206.43
  4. Step 4: Simplify right side
    299.84x = 85,359.84
  5. Step 5: Solve for x
    x = 85,359.84/299.84
  6. Step 6: Final answer
    x = 284.69

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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.