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Finding the Fourth Proportional to 330.28, 495.06 and 221.92

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Solution

The fourth proportional to 330.28, 495.06 and 221.92 is: 332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.28 : 495.06 = 221.92 : x
  2. Step 2: Convert to fraction form
    330.28/495.06 = 221.92/x
  3. Step 3: Cross multiply
    330.28x = 495.06 × 221.92
  4. Step 4: Simplify right side
    330.28x = 109,863.72
  5. Step 5: Solve for x
    x = 109,863.72/330.28
  6. Step 6: Final answer
    x = 332.64

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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.