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Finding the Fourth Proportional to 806.81, 1,210.25 and 229.69

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Solution

The fourth proportional to 806.81, 1,210.25 and 229.69 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.81 : 1,210.25 = 229.69 : x
  2. Step 2: Convert to fraction form
    806.81/1,210.25 = 229.69/x
  3. Step 3: Cross multiply
    806.81x = 1,210.25 × 229.69
  4. Step 4: Simplify right side
    806.81x = 277,979.87
  5. Step 5: Solve for x
    x = 277,979.87/806.81
  6. Step 6: Final answer
    x = 344.54

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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.