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Finding the Fourth Proportional to 330.28, 456.01 and 219.98

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Solution

The fourth proportional to 330.28, 456.01 and 219.98 is: 303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.28 : 456.01 = 219.98 : x
  2. Step 2: Convert to fraction form
    330.28/456.01 = 219.98/x
  3. Step 3: Cross multiply
    330.28x = 456.01 × 219.98
  4. Step 4: Simplify right side
    330.28x = 100,313.08
  5. Step 5: Solve for x
    x = 100,313.08/330.28
  6. Step 6: Final answer
    x = 303.72

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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.