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Finding the Fourth Proportional to 329.61, 495.21 and 214.11

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Solution

The fourth proportional to 329.61, 495.21 and 214.11 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.61 : 495.21 = 214.11 : x
  2. Step 2: Convert to fraction form
    329.61/495.21 = 214.11/x
  3. Step 3: Cross multiply
    329.61x = 495.21 × 214.11
  4. Step 4: Simplify right side
    329.61x = 106,029.41
  5. Step 5: Solve for x
    x = 106,029.41/329.61
  6. Step 6: Final answer
    x = 321.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.