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Finding the Fourth Proportional to 426.33, 638.89 and 311.04

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Solution

The fourth proportional to 426.33, 638.89 and 311.04 is: 466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.33 : 638.89 = 311.04 : x
  2. Step 2: Convert to fraction form
    426.33/638.89 = 311.04/x
  3. Step 3: Cross multiply
    426.33x = 638.89 × 311.04
  4. Step 4: Simplify right side
    426.33x = 198,719.57
  5. Step 5: Solve for x
    x = 198,719.57/426.33
  6. Step 6: Final answer
    x = 466.12

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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.