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Finding the Fourth Proportional to 443.59, 668.70 and 413.85

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Solution

The fourth proportional to 443.59, 668.70 and 413.85 is: 623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.59 : 668.70 = 413.85 : x
  2. Step 2: Convert to fraction form
    443.59/668.70 = 413.85/x
  3. Step 3: Cross multiply
    443.59x = 668.70 × 413.85
  4. Step 4: Simplify right side
    443.59x = 276,745.55
  5. Step 5: Solve for x
    x = 276,745.55/443.59
  6. Step 6: Final answer
    x = 623.88

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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.