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Finding the Fourth Proportional to 321.18, 480.84 and 218.22

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Solution

The fourth proportional to 321.18, 480.84 and 218.22 is: 326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.18 : 480.84 = 218.22 : x
  2. Step 2: Convert to fraction form
    321.18/480.84 = 218.22/x
  3. Step 3: Cross multiply
    321.18x = 480.84 × 218.22
  4. Step 4: Simplify right side
    321.18x = 104,928.90
  5. Step 5: Solve for x
    x = 104,928.90/321.18
  6. Step 6: Final answer
    x = 326.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.