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Finding the Fourth Proportional to 324.35, 447.54 and 193.40

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Solution

The fourth proportional to 324.35, 447.54 and 193.40 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.35 : 447.54 = 193.40 : x
  2. Step 2: Convert to fraction form
    324.35/447.54 = 193.40/x
  3. Step 3: Cross multiply
    324.35x = 447.54 × 193.40
  4. Step 4: Simplify right side
    324.35x = 86,554.24
  5. Step 5: Solve for x
    x = 86,554.24/324.35
  6. Step 6: Final answer
    x = 266.85

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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.