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Finding the Fourth Proportional to 324.65, 447.66 and 213.93

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Solution

The fourth proportional to 324.65, 447.66 and 213.93 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.65 : 447.66 = 213.93 : x
  2. Step 2: Convert to fraction form
    324.65/447.66 = 213.93/x
  3. Step 3: Cross multiply
    324.65x = 447.66 × 213.93
  4. Step 4: Simplify right side
    324.65x = 95,767.90
  5. Step 5: Solve for x
    x = 95,767.90/324.65
  6. Step 6: Final answer
    x = 294.99

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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.