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Finding the Fourth Proportional to 330.15, 496.74 and 262.41

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Solution

The fourth proportional to 330.15, 496.74 and 262.41 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.15 : 496.74 = 262.41 : x
  2. Step 2: Convert to fraction form
    330.15/496.74 = 262.41/x
  3. Step 3: Cross multiply
    330.15x = 496.74 × 262.41
  4. Step 4: Simplify right side
    330.15x = 130,349.54
  5. Step 5: Solve for x
    x = 130,349.54/330.15
  6. Step 6: Final answer
    x = 394.82

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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.