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Finding the Fourth Proportional to 324.80, 486.16 and 227.42

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Solution

The fourth proportional to 324.80, 486.16 and 227.42 is: 340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.80 : 486.16 = 227.42 : x
  2. Step 2: Convert to fraction form
    324.80/486.16 = 227.42/x
  3. Step 3: Cross multiply
    324.80x = 486.16 × 227.42
  4. Step 4: Simplify right side
    324.80x = 110,562.51
  5. Step 5: Solve for x
    x = 110,562.51/324.80
  6. Step 6: Final answer
    x = 340.40

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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.