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Finding the Fourth Proportional to 330.24, 456.48 and 252.96

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Solution

The fourth proportional to 330.24, 456.48 and 252.96 is: 349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.24 : 456.48 = 252.96 : x
  2. Step 2: Convert to fraction form
    330.24/456.48 = 252.96/x
  3. Step 3: Cross multiply
    330.24x = 456.48 × 252.96
  4. Step 4: Simplify right side
    330.24x = 115,471.18
  5. Step 5: Solve for x
    x = 115,471.18/330.24
  6. Step 6: Final answer
    x = 349.66

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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.