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Finding the Fourth Proportional to 443.63, 668.76 and 413.90

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Solution

The fourth proportional to 443.63, 668.76 and 413.90 is: 623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.63 : 668.76 = 413.90 : x
  2. Step 2: Convert to fraction form
    443.63/668.76 = 413.90/x
  3. Step 3: Cross multiply
    443.63x = 668.76 × 413.90
  4. Step 4: Simplify right side
    443.63x = 276,797.45
  5. Step 5: Solve for x
    x = 276,797.45/443.63
  6. Step 6: Final answer
    x = 623.94

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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.