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Finding the Fourth Proportional to 809.81, 1,215.09 and 347.54

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Solution

The fourth proportional to 809.81, 1,215.09 and 347.54 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.81 : 1,215.09 = 347.54 : x
  2. Step 2: Convert to fraction form
    809.81/1,215.09 = 347.54/x
  3. Step 3: Cross multiply
    809.81x = 1,215.09 × 347.54
  4. Step 4: Simplify right side
    809.81x = 422,292.38
  5. Step 5: Solve for x
    x = 422,292.38/809.81
  6. Step 6: Final answer
    x = 521.47

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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.