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Finding the Fourth Proportional to 300.38, 413.95 and 295.06

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Solution

The fourth proportional to 300.38, 413.95 and 295.06 is: 406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.38 : 413.95 = 295.06 : x
  2. Step 2: Convert to fraction form
    300.38/413.95 = 295.06/x
  3. Step 3: Cross multiply
    300.38x = 413.95 × 295.06
  4. Step 4: Simplify right side
    300.38x = 122,140.09
  5. Step 5: Solve for x
    x = 122,140.09/300.38
  6. Step 6: Final answer
    x = 406.62

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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.