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Finding the Fourth Proportional to 413.84, 620.73 and 230.65

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Solution

The fourth proportional to 413.84, 620.73 and 230.65 is: 345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 620.73 = 230.65 : x
  2. Step 2: Convert to fraction form
    413.84/620.73 = 230.65/x
  3. Step 3: Cross multiply
    413.84x = 620.73 × 230.65
  4. Step 4: Simplify right side
    413.84x = 143,169.82
  5. Step 5: Solve for x
    x = 143,169.82/413.84
  6. Step 6: Final answer
    x = 345.95

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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.