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Finding the Fourth Proportional to 324.40, 447.64 and 193.40

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Solution

The fourth proportional to 324.40, 447.64 and 193.40 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.40 : 447.64 = 193.40 : x
  2. Step 2: Convert to fraction form
    324.40/447.64 = 193.40/x
  3. Step 3: Cross multiply
    324.40x = 447.64 × 193.40
  4. Step 4: Simplify right side
    324.40x = 86,573.58
  5. Step 5: Solve for x
    x = 86,573.58/324.40
  6. Step 6: Final answer
    x = 266.87

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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.