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Finding the Fourth Proportional to 502.82, 754.24 and 206.36

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Solution

The fourth proportional to 502.82, 754.24 and 206.36 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.82 : 754.24 = 206.36 : x
  2. Step 2: Convert to fraction form
    502.82/754.24 = 206.36/x
  3. Step 3: Cross multiply
    502.82x = 754.24 × 206.36
  4. Step 4: Simplify right side
    502.82x = 155,644.97
  5. Step 5: Solve for x
    x = 155,644.97/502.82
  6. Step 6: Final answer
    x = 309.54

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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.