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Finding the Fourth Proportional to 324.41, 447.63 and 193.44

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Solution

The fourth proportional to 324.41, 447.63 and 193.44 is: 266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.41 : 447.63 = 193.44 : x
  2. Step 2: Convert to fraction form
    324.41/447.63 = 193.44/x
  3. Step 3: Cross multiply
    324.41x = 447.63 × 193.44
  4. Step 4: Simplify right side
    324.41x = 86,590.50
  5. Step 5: Solve for x
    x = 86,590.50/324.41
  6. Step 6: Final answer
    x = 266.92

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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.