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Finding the Fourth Proportional to 300.15, 413.22 and 261.34

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Solution

The fourth proportional to 300.15, 413.22 and 261.34 is: 359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.15 : 413.22 = 261.34 : x
  2. Step 2: Convert to fraction form
    300.15/413.22 = 261.34/x
  3. Step 3: Cross multiply
    300.15x = 413.22 × 261.34
  4. Step 4: Simplify right side
    300.15x = 107,990.91
  5. Step 5: Solve for x
    x = 107,990.91/300.15
  6. Step 6: Final answer
    x = 359.79

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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.