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Finding the Fourth Proportional to 324.58, 486.33 and 221.71

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Solution

The fourth proportional to 324.58, 486.33 and 221.71 is: 332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.58 : 486.33 = 221.71 : x
  2. Step 2: Convert to fraction form
    324.58/486.33 = 221.71/x
  3. Step 3: Cross multiply
    324.58x = 486.33 × 221.71
  4. Step 4: Simplify right side
    324.58x = 107,824.22
  5. Step 5: Solve for x
    x = 107,824.22/324.58
  6. Step 6: Final answer
    x = 332.20

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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.