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Finding the Fourth Proportional to 806.38, 1,209.76 and 229.26

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Solution

The fourth proportional to 806.38, 1,209.76 and 229.26 is: 343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.38 : 1,209.76 = 229.26 : x
  2. Step 2: Convert to fraction form
    806.38/1,209.76 = 229.26/x
  3. Step 3: Cross multiply
    806.38x = 1,209.76 × 229.26
  4. Step 4: Simplify right side
    806.38x = 277,349.58
  5. Step 5: Solve for x
    x = 277,349.58/806.38
  6. Step 6: Final answer
    x = 343.94

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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.