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Finding the Fourth Proportional to 324.00, 447.09 and 184.09

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Solution

The fourth proportional to 324.00, 447.09 and 184.09 is: 254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.00 : 447.09 = 184.09 : x
  2. Step 2: Convert to fraction form
    324.00/447.09 = 184.09/x
  3. Step 3: Cross multiply
    324.00x = 447.09 × 184.09
  4. Step 4: Simplify right side
    324.00x = 82,305.38
  5. Step 5: Solve for x
    x = 82,305.38/324.00
  6. Step 6: Final answer
    x = 254.03

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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.