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Finding the Fourth Proportional to 324.45, 447.53 and 213.93

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Solution

The fourth proportional to 324.45, 447.53 and 213.93 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.45 : 447.53 = 213.93 : x
  2. Step 2: Convert to fraction form
    324.45/447.53 = 213.93/x
  3. Step 3: Cross multiply
    324.45x = 447.53 × 213.93
  4. Step 4: Simplify right side
    324.45x = 95,739.02
  5. Step 5: Solve for x
    x = 95,739.02/324.45
  6. Step 6: Final answer
    x = 295.08

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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.