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Finding the Fourth Proportional to 502.78, 754.71 and 214.42

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Solution

The fourth proportional to 502.78, 754.71 and 214.42 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.78 : 754.71 = 214.42 : x
  2. Step 2: Convert to fraction form
    502.78/754.71 = 214.42/x
  3. Step 3: Cross multiply
    502.78x = 754.71 × 214.42
  4. Step 4: Simplify right side
    502.78x = 161,824.92
  5. Step 5: Solve for x
    x = 161,824.92/502.78
  6. Step 6: Final answer
    x = 321.86

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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.