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Finding the Fourth Proportional to 608.54, 913.20 and 413.66

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Solution

The fourth proportional to 608.54, 913.20 and 413.66 is: 620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.54 : 913.20 = 413.66 : x
  2. Step 2: Convert to fraction form
    608.54/913.20 = 413.66/x
  3. Step 3: Cross multiply
    608.54x = 913.20 × 413.66
  4. Step 4: Simplify right side
    608.54x = 377,754.31
  5. Step 5: Solve for x
    x = 377,754.31/608.54
  6. Step 6: Final answer
    x = 620.76

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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.