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Finding the Fourth Proportional to 413.44, 618.12 and 322.24

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Solution

The fourth proportional to 413.44, 618.12 and 322.24 is: 481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.44 : 618.12 = 322.24 : x
  2. Step 2: Convert to fraction form
    413.44/618.12 = 322.24/x
  3. Step 3: Cross multiply
    413.44x = 618.12 × 322.24
  4. Step 4: Simplify right side
    413.44x = 199,182.99
  5. Step 5: Solve for x
    x = 199,182.99/413.44
  6. Step 6: Final answer
    x = 481.77

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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.