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Finding the Fourth Proportional to 502.70, 754.14 and 214.13

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Solution

The fourth proportional to 502.70, 754.14 and 214.13 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.70 : 754.14 = 214.13 : x
  2. Step 2: Convert to fraction form
    502.70/754.14 = 214.13/x
  3. Step 3: Cross multiply
    502.70x = 754.14 × 214.13
  4. Step 4: Simplify right side
    502.70x = 161,480.23
  5. Step 5: Solve for x
    x = 161,480.23/502.70
  6. Step 6: Final answer
    x = 321.23

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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.