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Finding the Fourth Proportional to 330.43, 455.49 and 219.70

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Solution

The fourth proportional to 330.43, 455.49 and 219.70 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.43 : 455.49 = 219.70 : x
  2. Step 2: Convert to fraction form
    330.43/455.49 = 219.70/x
  3. Step 3: Cross multiply
    330.43x = 455.49 × 219.70
  4. Step 4: Simplify right side
    330.43x = 100,071.15
  5. Step 5: Solve for x
    x = 100,071.15/330.43
  6. Step 6: Final answer
    x = 302.85

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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.