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Finding the Fourth Proportional to 324.47, 447.71 and 182.67

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Solution

The fourth proportional to 324.47, 447.71 and 182.67 is: 252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.47 : 447.71 = 182.67 : x
  2. Step 2: Convert to fraction form
    324.47/447.71 = 182.67/x
  3. Step 3: Cross multiply
    324.47x = 447.71 × 182.67
  4. Step 4: Simplify right side
    324.47x = 81,782.27
  5. Step 5: Solve for x
    x = 81,782.27/324.47
  6. Step 6: Final answer
    x = 252.05

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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.