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Finding the Fourth Proportional to 324.52, 447.72 and 214.04

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Solution

The fourth proportional to 324.52, 447.72 and 214.04 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.52 : 447.72 = 214.04 : x
  2. Step 2: Convert to fraction form
    324.52/447.72 = 214.04/x
  3. Step 3: Cross multiply
    324.52x = 447.72 × 214.04
  4. Step 4: Simplify right side
    324.52x = 95,829.99
  5. Step 5: Solve for x
    x = 95,829.99/324.52
  6. Step 6: Final answer
    x = 295.30

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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.