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Finding the Fourth Proportional to 329.13, 454.28 and 212.49

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Solution

The fourth proportional to 329.13, 454.28 and 212.49 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.13 : 454.28 = 212.49 : x
  2. Step 2: Convert to fraction form
    329.13/454.28 = 212.49/x
  3. Step 3: Cross multiply
    329.13x = 454.28 × 212.49
  4. Step 4: Simplify right side
    329.13x = 96,528.89
  5. Step 5: Solve for x
    x = 96,528.89/329.13
  6. Step 6: Final answer
    x = 293.29

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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.