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Finding the Fourth Proportional to 806, 1,208.06 and 366.78

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Solution

The fourth proportional to 806, 1,208.06 and 366.78 is: 549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    806 : 1,208.06 = 366.78 : x
  2. Step 2: Convert to fraction form
    806/1,208.06 = 366.78/x
  3. Step 3: Cross multiply
    806x = 1,208.06 × 366.78
  4. Step 4: Simplify right side
    806x = 443,092.25
  5. Step 5: Solve for x
    x = 443,092.25/806
  6. Step 6: Final answer
    x = 549.74

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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.