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Finding the Fourth Proportional to 324.24, 447.50 and 214.04

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Solution

The fourth proportional to 324.24, 447.50 and 214.04 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 447.50 = 214.04 : x
  2. Step 2: Convert to fraction form
    324.24/447.50 = 214.04/x
  3. Step 3: Cross multiply
    324.24x = 447.50 × 214.04
  4. Step 4: Simplify right side
    324.24x = 95,782.90
  5. Step 5: Solve for x
    x = 95,782.90/324.24
  6. Step 6: Final answer
    x = 295.41

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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.