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Finding the Fourth Proportional to 321.41, 443.76 and 216.66

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Solution

The fourth proportional to 321.41, 443.76 and 216.66 is: 299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.41 : 443.76 = 216.66 : x
  2. Step 2: Convert to fraction form
    321.41/443.76 = 216.66/x
  3. Step 3: Cross multiply
    321.41x = 443.76 × 216.66
  4. Step 4: Simplify right side
    321.41x = 96,142.82
  5. Step 5: Solve for x
    x = 96,142.82/321.41
  6. Step 6: Final answer
    x = 299.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.