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Finding the Fourth Proportional to 413.80, 571.08 and 239.14

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Solution

The fourth proportional to 413.80, 571.08 and 239.14 is: 330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 571.08 = 239.14 : x
  2. Step 2: Convert to fraction form
    413.80/571.08 = 239.14/x
  3. Step 3: Cross multiply
    413.80x = 571.08 × 239.14
  4. Step 4: Simplify right side
    413.80x = 136,568.07
  5. Step 5: Solve for x
    x = 136,568.07/413.80
  6. Step 6: Final answer
    x = 330.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.