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Finding the Fourth Proportional to 443.19, 668.10 and 413.46

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Solution

The fourth proportional to 443.19, 668.10 and 413.46 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.19 : 668.10 = 413.46 : x
  2. Step 2: Convert to fraction form
    443.19/668.10 = 413.46/x
  3. Step 3: Cross multiply
    443.19x = 668.10 × 413.46
  4. Step 4: Simplify right side
    443.19x = 276,231.41
  5. Step 5: Solve for x
    x = 276,231.41/443.19
  6. Step 6: Final answer
    x = 623.28

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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.