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Finding the Fourth Proportional to 413.39, 619.92 and 153.41

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Solution

The fourth proportional to 413.39, 619.92 and 153.41 is: 230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.39 : 619.92 = 153.41 : x
  2. Step 2: Convert to fraction form
    413.39/619.92 = 153.41/x
  3. Step 3: Cross multiply
    413.39x = 619.92 × 153.41
  4. Step 4: Simplify right side
    413.39x = 95,101.16
  5. Step 5: Solve for x
    x = 95,101.16/413.39
  6. Step 6: Final answer
    x = 230.05

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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.