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Finding the Fourth Proportional to 326.93, 491.40 and 205.97

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Solution

The fourth proportional to 326.93, 491.40 and 205.97 is: 309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.93 : 491.40 = 205.97 : x
  2. Step 2: Convert to fraction form
    326.93/491.40 = 205.97/x
  3. Step 3: Cross multiply
    326.93x = 491.40 × 205.97
  4. Step 4: Simplify right side
    326.93x = 101,211.20
  5. Step 5: Solve for x
    x = 101,211.20/326.93
  6. Step 6: Final answer
    x = 309.59

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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.