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Finding the Fourth Proportional to 330.62, 456.08 and 212.56

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Solution

The fourth proportional to 330.62, 456.08 and 212.56 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.62 : 456.08 = 212.56 : x
  2. Step 2: Convert to fraction form
    330.62/456.08 = 212.56/x
  3. Step 3: Cross multiply
    330.62x = 456.08 × 212.56
  4. Step 4: Simplify right side
    330.62x = 96,942.16
  5. Step 5: Solve for x
    x = 96,942.16/330.62
  6. Step 6: Final answer
    x = 293.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.