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Finding the Fourth Proportional to 300.20, 413.86 and 289

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Solution

The fourth proportional to 300.20, 413.86 and 289 is: 398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.20 : 413.86 = 289 : x
  2. Step 2: Convert to fraction form
    300.20/413.86 = 289/x
  3. Step 3: Cross multiply
    300.20x = 413.86 × 289
  4. Step 4: Simplify right side
    300.20x = 119,605.54
  5. Step 5: Solve for x
    x = 119,605.54/300.20
  6. Step 6: Final answer
    x = 398.42

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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.