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Finding the Fourth Proportional to 329.72, 455.02 and 213.49

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Solution

The fourth proportional to 329.72, 455.02 and 213.49 is: 294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.72 : 455.02 = 213.49 : x
  2. Step 2: Convert to fraction form
    329.72/455.02 = 213.49/x
  3. Step 3: Cross multiply
    329.72x = 455.02 × 213.49
  4. Step 4: Simplify right side
    329.72x = 97,142.22
  5. Step 5: Solve for x
    x = 97,142.22/329.72
  6. Step 6: Final answer
    x = 294.62

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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.