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Finding the Fourth Proportional to 321.77, 482.31 and 218.80

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Solution

The fourth proportional to 321.77, 482.31 and 218.80 is: 327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.77 : 482.31 = 218.80 : x
  2. Step 2: Convert to fraction form
    321.77/482.31 = 218.80/x
  3. Step 3: Cross multiply
    321.77x = 482.31 × 218.80
  4. Step 4: Simplify right side
    321.77x = 105,528.22
  5. Step 5: Solve for x
    x = 105,528.22/321.77
  6. Step 6: Final answer
    x = 327.96

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