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Finding the Fourth Proportional to 443.45, 668.52 and 413.73

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Solution

The fourth proportional to 443.45, 668.52 and 413.73 is: 623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.45 : 668.52 = 413.73 : x
  2. Step 2: Convert to fraction form
    443.45/668.52 = 413.73/x
  3. Step 3: Cross multiply
    443.45x = 668.52 × 413.73
  4. Step 4: Simplify right side
    443.45x = 276,586.78
  5. Step 5: Solve for x
    x = 276,586.78/443.45
  6. Step 6: Final answer
    x = 623.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.