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Finding the Fourth Proportional to 413.97, 620.95 and 251.70

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Solution

The fourth proportional to 413.97, 620.95 and 251.70 is: 377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 620.95 = 251.70 : x
  2. Step 2: Convert to fraction form
    413.97/620.95 = 251.70/x
  3. Step 3: Cross multiply
    413.97x = 620.95 × 251.70
  4. Step 4: Simplify right side
    413.97x = 156,290.01
  5. Step 5: Solve for x
    x = 156,290.01/413.97
  6. Step 6: Final answer
    x = 377.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.