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Finding the Fourth Proportional to 413.24, 617.57 and 370.41

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Solution

The fourth proportional to 413.24, 617.57 and 370.41 is: 553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.24 : 617.57 = 370.41 : x
  2. Step 2: Convert to fraction form
    413.24/617.57 = 370.41/x
  3. Step 3: Cross multiply
    413.24x = 617.57 × 370.41
  4. Step 4: Simplify right side
    413.24x = 228,754.10
  5. Step 5: Solve for x
    x = 228,754.10/413.24
  6. Step 6: Final answer
    x = 553.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.