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Finding the Fourth Proportional to 324.93, 448.61 and 206.97

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Solution

The fourth proportional to 324.93, 448.61 and 206.97 is: 285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.93 : 448.61 = 206.97 : x
  2. Step 2: Convert to fraction form
    324.93/448.61 = 206.97/x
  3. Step 3: Cross multiply
    324.93x = 448.61 × 206.97
  4. Step 4: Simplify right side
    324.93x = 92,847.78
  5. Step 5: Solve for x
    x = 92,847.78/324.93
  6. Step 6: Final answer
    x = 285.75

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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.