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Finding the Fourth Proportional to 447.82, 617.74 and 413.46

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Solution

The fourth proportional to 447.82, 617.74 and 413.46 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.82 : 617.74 = 413.46 : x
  2. Step 2: Convert to fraction form
    447.82/617.74 = 413.46/x
  3. Step 3: Cross multiply
    447.82x = 617.74 × 413.46
  4. Step 4: Simplify right side
    447.82x = 255,410.78
  5. Step 5: Solve for x
    x = 255,410.78/447.82
  6. Step 6: Final answer
    x = 570.34

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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.