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Finding the Fourth Proportional to 413.79, 616.26 and 408.93

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Solution

The fourth proportional to 413.79, 616.26 and 408.93 is: 609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.79 : 616.26 = 408.93 : x
  2. Step 2: Convert to fraction form
    413.79/616.26 = 408.93/x
  3. Step 3: Cross multiply
    413.79x = 616.26 × 408.93
  4. Step 4: Simplify right side
    413.79x = 252,007.20
  5. Step 5: Solve for x
    x = 252,007.20/413.79
  6. Step 6: Final answer
    x = 609.02

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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.