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Finding the Fourth Proportional to 300.24, 413.32 and 251.04

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Solution

The fourth proportional to 300.24, 413.32 and 251.04 is: 345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 413.32 = 251.04 : x
  2. Step 2: Convert to fraction form
    300.24/413.32 = 251.04/x
  3. Step 3: Cross multiply
    300.24x = 413.32 × 251.04
  4. Step 4: Simplify right side
    300.24x = 103,759.85
  5. Step 5: Solve for x
    x = 103,759.85/300.24
  6. Step 6: Final answer
    x = 345.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.