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Finding the Fourth Proportional to 330.46, 456.09 and 220.03

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Solution

The fourth proportional to 330.46, 456.09 and 220.03 is: 303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.46 : 456.09 = 220.03 : x
  2. Step 2: Convert to fraction form
    330.46/456.09 = 220.03/x
  3. Step 3: Cross multiply
    330.46x = 456.09 × 220.03
  4. Step 4: Simplify right side
    330.46x = 100,353.48
  5. Step 5: Solve for x
    x = 100,353.48/330.46
  6. Step 6: Final answer
    x = 303.68

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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.