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Finding the Fourth Proportional to 323.59, 446.91 and 218.49

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Solution

The fourth proportional to 323.59, 446.91 and 218.49 is: 301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.59 : 446.91 = 218.49 : x
  2. Step 2: Convert to fraction form
    323.59/446.91 = 218.49/x
  3. Step 3: Cross multiply
    323.59x = 446.91 × 218.49
  4. Step 4: Simplify right side
    323.59x = 97,645.37
  5. Step 5: Solve for x
    x = 97,645.37/323.59
  6. Step 6: Final answer
    x = 301.76

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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.