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Finding the Fourth Proportional to 330.89, 495.52 and 269.66

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Solution

The fourth proportional to 330.89, 495.52 and 269.66 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.89 : 495.52 = 269.66 : x
  2. Step 2: Convert to fraction form
    330.89/495.52 = 269.66/x
  3. Step 3: Cross multiply
    330.89x = 495.52 × 269.66
  4. Step 4: Simplify right side
    330.89x = 133,622.49
  5. Step 5: Solve for x
    x = 133,622.49/330.89
  6. Step 6: Final answer
    x = 403.83

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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.