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Finding the Fourth Proportional to 330.45, 494.96 and 272.54

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Solution

The fourth proportional to 330.45, 494.96 and 272.54 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.45 : 494.96 = 272.54 : x
  2. Step 2: Convert to fraction form
    330.45/494.96 = 272.54/x
  3. Step 3: Cross multiply
    330.45x = 494.96 × 272.54
  4. Step 4: Simplify right side
    330.45x = 134,892.56
  5. Step 5: Solve for x
    x = 134,892.56/330.45
  6. Step 6: Final answer
    x = 408.21

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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.