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Finding the Fourth Proportional to 324.01, 447.12 and 176.64

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Solution

The fourth proportional to 324.01, 447.12 and 176.64 is: 243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.01 : 447.12 = 176.64 : x
  2. Step 2: Convert to fraction form
    324.01/447.12 = 176.64/x
  3. Step 3: Cross multiply
    324.01x = 447.12 × 176.64
  4. Step 4: Simplify right side
    324.01x = 78,979.28
  5. Step 5: Solve for x
    x = 78,979.28/324.01
  6. Step 6: Final answer
    x = 243.76

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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.