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Finding the Fourth Proportional to 324.45, 487.43 and 306.97

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Solution

The fourth proportional to 324.45, 487.43 and 306.97 is: 461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.45 : 487.43 = 306.97 : x
  2. Step 2: Convert to fraction form
    324.45/487.43 = 306.97/x
  3. Step 3: Cross multiply
    324.45x = 487.43 × 306.97
  4. Step 4: Simplify right side
    324.45x = 149,626.39
  5. Step 5: Solve for x
    x = 149,626.39/324.45
  6. Step 6: Final answer
    x = 461.17

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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.