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Finding the Fourth Proportional to 413.78, 571.08 and 254.34

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Solution

The fourth proportional to 413.78, 571.08 and 254.34 is: 351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 571.08 = 254.34 : x
  2. Step 2: Convert to fraction form
    413.78/571.08 = 254.34/x
  3. Step 3: Cross multiply
    413.78x = 571.08 × 254.34
  4. Step 4: Simplify right side
    413.78x = 145,249.44
  5. Step 5: Solve for x
    x = 145,249.44/413.78
  6. Step 6: Final answer
    x = 351.03

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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.