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Finding the Fourth Proportional to 518.68, 713.94 and 413.56

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Solution

The fourth proportional to 518.68, 713.94 and 413.56 is: 569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.68 : 713.94 = 413.56 : x
  2. Step 2: Convert to fraction form
    518.68/713.94 = 413.56/x
  3. Step 3: Cross multiply
    518.68x = 713.94 × 413.56
  4. Step 4: Simplify right side
    518.68x = 295,257.03
  5. Step 5: Solve for x
    x = 295,257.03/518.68
  6. Step 6: Final answer
    x = 569.25

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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.