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Finding the Fourth Proportional to 538.27, 807.45 and 213.56

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Solution

The fourth proportional to 538.27, 807.45 and 213.56 is: 320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.27 : 807.45 = 213.56 : x
  2. Step 2: Convert to fraction form
    538.27/807.45 = 213.56/x
  3. Step 3: Cross multiply
    538.27x = 807.45 × 213.56
  4. Step 4: Simplify right side
    538.27x = 172,439.02
  5. Step 5: Solve for x
    x = 172,439.02/538.27
  6. Step 6: Final answer
    x = 320.36

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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.