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Finding the Fourth Proportional to 300.43, 413.04 and 298.56

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Solution

The fourth proportional to 300.43, 413.04 and 298.56 is: 410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.43 : 413.04 = 298.56 : x
  2. Step 2: Convert to fraction form
    300.43/413.04 = 298.56/x
  3. Step 3: Cross multiply
    300.43x = 413.04 × 298.56
  4. Step 4: Simplify right side
    300.43x = 123,316.89
  5. Step 5: Solve for x
    x = 123,316.89/300.43
  6. Step 6: Final answer
    x = 410.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.