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Finding the Fourth Proportional to 502.63, 754.14 and 214.09

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Solution

The fourth proportional to 502.63, 754.14 and 214.09 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.63 : 754.14 = 214.09 : x
  2. Step 2: Convert to fraction form
    502.63/754.14 = 214.09/x
  3. Step 3: Cross multiply
    502.63x = 754.14 × 214.09
  4. Step 4: Simplify right side
    502.63x = 161,453.83
  5. Step 5: Solve for x
    x = 161,453.83/502.63
  6. Step 6: Final answer
    x = 321.22

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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.