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Finding the Fourth Proportional to 324.76, 448.41 and 226.65

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Solution

The fourth proportional to 324.76, 448.41 and 226.65 is: 312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 448.41 = 226.65 : x
  2. Step 2: Convert to fraction form
    324.76/448.41 = 226.65/x
  3. Step 3: Cross multiply
    324.76x = 448.41 × 226.65
  4. Step 4: Simplify right side
    324.76x = 101,631.50
  5. Step 5: Solve for x
    x = 101,631.50/324.76
  6. Step 6: Final answer
    x = 312.94

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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.