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Finding the Fourth Proportional to 330.48, 496.11 and 262.83

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Solution

The fourth proportional to 330.48, 496.11 and 262.83 is: 394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 496.11 = 262.83 : x
  2. Step 2: Convert to fraction form
    330.48/496.11 = 262.83/x
  3. Step 3: Cross multiply
    330.48x = 496.11 × 262.83
  4. Step 4: Simplify right side
    330.48x = 130,392.59
  5. Step 5: Solve for x
    x = 130,392.59/330.48
  6. Step 6: Final answer
    x = 394.56

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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.