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Finding the Fourth Proportional to 321.76, 443.64 and 216.68

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Solution

The fourth proportional to 321.76, 443.64 and 216.68 is: 298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 443.64 = 216.68 : x
  2. Step 2: Convert to fraction form
    321.76/443.64 = 216.68/x
  3. Step 3: Cross multiply
    321.76x = 443.64 × 216.68
  4. Step 4: Simplify right side
    321.76x = 96,127.92
  5. Step 5: Solve for x
    x = 96,127.92/321.76
  6. Step 6: Final answer
    x = 298.76

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Why These Related Problems?

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