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Finding the Fourth Proportional to 330.96, 495.48 and 254.24

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Solution

The fourth proportional to 330.96, 495.48 and 254.24 is: 380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 495.48 = 254.24 : x
  2. Step 2: Convert to fraction form
    330.96/495.48 = 254.24/x
  3. Step 3: Cross multiply
    330.96x = 495.48 × 254.24
  4. Step 4: Simplify right side
    330.96x = 125,970.84
  5. Step 5: Solve for x
    x = 125,970.84/330.96
  6. Step 6: Final answer
    x = 380.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.