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Finding the Fourth Proportional to 330.59, 455.96 and 212.46

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Solution

The fourth proportional to 330.59, 455.96 and 212.46 is: 293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.59 : 455.96 = 212.46 : x
  2. Step 2: Convert to fraction form
    330.59/455.96 = 212.46/x
  3. Step 3: Cross multiply
    330.59x = 455.96 × 212.46
  4. Step 4: Simplify right side
    330.59x = 96,872.20
  5. Step 5: Solve for x
    x = 96,872.20/330.59
  6. Step 6: Final answer
    x = 293.03

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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.