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Finding the Fourth Proportional to 329.11, 453.91 and 212.47

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Solution

The fourth proportional to 329.11, 453.91 and 212.47 is: 293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.11 : 453.91 = 212.47 : x
  2. Step 2: Convert to fraction form
    329.11/453.91 = 212.47/x
  3. Step 3: Cross multiply
    329.11x = 453.91 × 212.47
  4. Step 4: Simplify right side
    329.11x = 96,440.59
  5. Step 5: Solve for x
    x = 96,440.59/329.11
  6. Step 6: Final answer
    x = 293.04

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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.