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Finding the Fourth Proportional to 360.97, 541.44 and 206.42

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Solution

The fourth proportional to 360.97, 541.44 and 206.42 is: 309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.97 : 541.44 = 206.42 : x
  2. Step 2: Convert to fraction form
    360.97/541.44 = 206.42/x
  3. Step 3: Cross multiply
    360.97x = 541.44 × 206.42
  4. Step 4: Simplify right side
    360.97x = 111,761.34
  5. Step 5: Solve for x
    x = 111,761.34/360.97
  6. Step 6: Final answer
    x = 309.62

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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.