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Finding the Fourth Proportional to 330.27, 495.64 and 214.43

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Solution

The fourth proportional to 330.27, 495.64 and 214.43 is: 321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.27 : 495.64 = 214.43 : x
  2. Step 2: Convert to fraction form
    330.27/495.64 = 214.43/x
  3. Step 3: Cross multiply
    330.27x = 495.64 × 214.43
  4. Step 4: Simplify right side
    330.27x = 106,280.09
  5. Step 5: Solve for x
    x = 106,280.09/330.27
  6. Step 6: Final answer
    x = 321.80

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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.