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Finding the Fourth Proportional to 440.46, 655.81 and 413.73

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Solution

The fourth proportional to 440.46, 655.81 and 413.73 is: 616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.46 : 655.81 = 413.73 : x
  2. Step 2: Convert to fraction form
    440.46/655.81 = 413.73/x
  3. Step 3: Cross multiply
    440.46x = 655.81 × 413.73
  4. Step 4: Simplify right side
    440.46x = 271,327.24
  5. Step 5: Solve for x
    x = 271,327.24/440.46
  6. Step 6: Final answer
    x = 616.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.