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Finding the Fourth Proportional to 324.05, 447.20 and 176.69

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Solution

The fourth proportional to 324.05, 447.20 and 176.69 is: 243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.05 : 447.20 = 176.69 : x
  2. Step 2: Convert to fraction form
    324.05/447.20 = 176.69/x
  3. Step 3: Cross multiply
    324.05x = 447.20 × 176.69
  4. Step 4: Simplify right side
    324.05x = 79,014.91
  5. Step 5: Solve for x
    x = 79,014.91/324.05
  6. Step 6: Final answer
    x = 243.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.