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Finding the Fourth Proportional to 324.32, 447.60 and 214.02

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Solution

The fourth proportional to 324.32, 447.60 and 214.02 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 447.60 = 214.02 : x
  2. Step 2: Convert to fraction form
    324.32/447.60 = 214.02/x
  3. Step 3: Cross multiply
    324.32x = 447.60 × 214.02
  4. Step 4: Simplify right side
    324.32x = 95,794.28
  5. Step 5: Solve for x
    x = 95,794.28/324.32
  6. Step 6: Final answer
    x = 295.37

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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.