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Finding the Fourth Proportional to 324.56, 447.64 and 193.54

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Solution

The fourth proportional to 324.56, 447.64 and 193.54 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.56 : 447.64 = 193.54 : x
  2. Step 2: Convert to fraction form
    324.56/447.64 = 193.54/x
  3. Step 3: Cross multiply
    324.56x = 447.64 × 193.54
  4. Step 4: Simplify right side
    324.56x = 86,636.25
  5. Step 5: Solve for x
    x = 86,636.25/324.56
  6. Step 6: Final answer
    x = 266.93

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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.