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Finding the Fourth Proportional to 483.44, 724.45 and 413.62

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Solution

The fourth proportional to 483.44, 724.45 and 413.62 is: 619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.44 : 724.45 = 413.62 : x
  2. Step 2: Convert to fraction form
    483.44/724.45 = 413.62/x
  3. Step 3: Cross multiply
    483.44x = 724.45 × 413.62
  4. Step 4: Simplify right side
    483.44x = 299,644.16
  5. Step 5: Solve for x
    x = 299,644.16/483.44
  6. Step 6: Final answer
    x = 619.81

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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.