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Finding the Fourth Proportional to 413.90, 571.24 and 239.26

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Solution

The fourth proportional to 413.90, 571.24 and 239.26 is: 330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.90 : 571.24 = 239.26 : x
  2. Step 2: Convert to fraction form
    413.90/571.24 = 239.26/x
  3. Step 3: Cross multiply
    413.90x = 571.24 × 239.26
  4. Step 4: Simplify right side
    413.90x = 136,674.88
  5. Step 5: Solve for x
    x = 136,674.88/413.90
  6. Step 6: Final answer
    x = 330.21

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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.