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Finding the Fourth Proportional to 324.59, 447.94 and 193.57

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Solution

The fourth proportional to 324.59, 447.94 and 193.57 is: 267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.59 : 447.94 = 193.57 : x
  2. Step 2: Convert to fraction form
    324.59/447.94 = 193.57/x
  3. Step 3: Cross multiply
    324.59x = 447.94 × 193.57
  4. Step 4: Simplify right side
    324.59x = 86,706.87
  5. Step 5: Solve for x
    x = 86,706.87/324.59
  6. Step 6: Final answer
    x = 267.13

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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.