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Finding the Fourth Proportional to 413.08, 620.24 and 355.92

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Solution

The fourth proportional to 413.08, 620.24 and 355.92 is: 534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 620.24 = 355.92 : x
  2. Step 2: Convert to fraction form
    413.08/620.24 = 355.92/x
  3. Step 3: Cross multiply
    413.08x = 620.24 × 355.92
  4. Step 4: Simplify right side
    413.08x = 220,755.82
  5. Step 5: Solve for x
    x = 220,755.82/413.08
  6. Step 6: Final answer
    x = 534.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.