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Finding the Fourth Proportional to 329.37, 454.83 and 213.13

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Solution

The fourth proportional to 329.37, 454.83 and 213.13 is: 294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.37 : 454.83 = 213.13 : x
  2. Step 2: Convert to fraction form
    329.37/454.83 = 213.13/x
  3. Step 3: Cross multiply
    329.37x = 454.83 × 213.13
  4. Step 4: Simplify right side
    329.37x = 96,937.92
  5. Step 5: Solve for x
    x = 96,937.92/329.37
  6. Step 6: Final answer
    x = 294.31

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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.