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Finding the Fourth Proportional to 413.33, 620.39 and 153.59

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Solution

The fourth proportional to 413.33, 620.39 and 153.59 is: 230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.33 : 620.39 = 153.59 : x
  2. Step 2: Convert to fraction form
    413.33/620.39 = 153.59/x
  3. Step 3: Cross multiply
    413.33x = 620.39 × 153.59
  4. Step 4: Simplify right side
    413.33x = 95,282.98
  5. Step 5: Solve for x
    x = 95,282.98/413.33
  6. Step 6: Final answer
    x = 230.53

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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.