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Finding the Fourth Proportional to 444.68, 667.16 and 413.39

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Solution

The fourth proportional to 444.68, 667.16 and 413.39 is: 620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.68 : 667.16 = 413.39 : x
  2. Step 2: Convert to fraction form
    444.68/667.16 = 413.39/x
  3. Step 3: Cross multiply
    444.68x = 667.16 × 413.39
  4. Step 4: Simplify right side
    444.68x = 275,791.87
  5. Step 5: Solve for x
    x = 275,791.87/444.68
  6. Step 6: Final answer
    x = 620.21

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