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Finding the Fourth Proportional to 413.14, 616.77 and 398.73

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Solution

The fourth proportional to 413.14, 616.77 and 398.73 is: 595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 616.77 = 398.73 : x
  2. Step 2: Convert to fraction form
    413.14/616.77 = 398.73/x
  3. Step 3: Cross multiply
    413.14x = 616.77 × 398.73
  4. Step 4: Simplify right side
    413.14x = 245,924.70
  5. Step 5: Solve for x
    x = 245,924.70/413.14
  6. Step 6: Final answer
    x = 595.26

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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.