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Finding the Fourth Proportional to 490.38, 738.48 and 413.84

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Solution

The fourth proportional to 490.38, 738.48 and 413.84 is: 623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 738.48 = 413.84 : x
  2. Step 2: Convert to fraction form
    490.38/738.48 = 413.84/x
  3. Step 3: Cross multiply
    490.38x = 738.48 × 413.84
  4. Step 4: Simplify right side
    490.38x = 305,608.87
  5. Step 5: Solve for x
    x = 305,608.87/490.38
  6. Step 6: Final answer
    x = 623.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.