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Finding the Fourth Proportional to 324.43, 486.01 and 194.54

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Solution

The fourth proportional to 324.43, 486.01 and 194.54 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.43 : 486.01 = 194.54 : x
  2. Step 2: Convert to fraction form
    324.43/486.01 = 194.54/x
  3. Step 3: Cross multiply
    324.43x = 486.01 × 194.54
  4. Step 4: Simplify right side
    324.43x = 94,548.52
  5. Step 5: Solve for x
    x = 94,548.52/324.43
  6. Step 6: Final answer
    x = 291.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.