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Finding the Fourth Proportional to 330.56, 456.24 and 213.92

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Solution

The fourth proportional to 330.56, 456.24 and 213.92 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.56 : 456.24 = 213.92 : x
  2. Step 2: Convert to fraction form
    330.56/456.24 = 213.92/x
  3. Step 3: Cross multiply
    330.56x = 456.24 × 213.92
  4. Step 4: Simplify right side
    330.56x = 97,598.86
  5. Step 5: Solve for x
    x = 97,598.86/330.56
  6. Step 6: Final answer
    x = 295.25

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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.