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Finding the Fourth Proportional to 324.02, 447.16 and 213.80

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Solution

The fourth proportional to 324.02, 447.16 and 213.80 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.02 : 447.16 = 213.80 : x
  2. Step 2: Convert to fraction form
    324.02/447.16 = 213.80/x
  3. Step 3: Cross multiply
    324.02x = 447.16 × 213.80
  4. Step 4: Simplify right side
    324.02x = 95,602.81
  5. Step 5: Solve for x
    x = 95,602.81/324.02
  6. Step 6: Final answer
    x = 295.05

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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.