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Finding the Fourth Proportional to 329.31, 454.46 and 213.08

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Solution

The fourth proportional to 329.31, 454.46 and 213.08 is: 294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.31 : 454.46 = 213.08 : x
  2. Step 2: Convert to fraction form
    329.31/454.46 = 213.08/x
  3. Step 3: Cross multiply
    329.31x = 454.46 × 213.08
  4. Step 4: Simplify right side
    329.31x = 96,834.67
  5. Step 5: Solve for x
    x = 96,834.67/329.31
  6. Step 6: Final answer
    x = 294.05

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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.