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Finding the Fourth Proportional to 330.28, 494.91 and 199.94

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Solution

The fourth proportional to 330.28, 494.91 and 199.94 is: 299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.28 : 494.91 = 199.94 : x
  2. Step 2: Convert to fraction form
    330.28/494.91 = 199.94/x
  3. Step 3: Cross multiply
    330.28x = 494.91 × 199.94
  4. Step 4: Simplify right side
    330.28x = 98,949.83
  5. Step 5: Solve for x
    x = 98,949.83/330.28
  6. Step 6: Final answer
    x = 299.60

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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.