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Finding the Fourth Proportional to 818.38, 1,226.49 and 330.85

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Solution

The fourth proportional to 818.38, 1,226.49 and 330.85 is: 495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.38 : 1,226.49 = 330.85 : x
  2. Step 2: Convert to fraction form
    818.38/1,226.49 = 330.85/x
  3. Step 3: Cross multiply
    818.38x = 1,226.49 × 330.85
  4. Step 4: Simplify right side
    818.38x = 405,784.22
  5. Step 5: Solve for x
    x = 405,784.22/818.38
  6. Step 6: Final answer
    x = 495.84

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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.