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Finding the Fourth Proportional to 538.24, 807.31 and 213.52

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Solution

The fourth proportional to 538.24, 807.31 and 213.52 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 807.31 = 213.52 : x
  2. Step 2: Convert to fraction form
    538.24/807.31 = 213.52/x
  3. Step 3: Cross multiply
    538.24x = 807.31 × 213.52
  4. Step 4: Simplify right side
    538.24x = 172,372.26
  5. Step 5: Solve for x
    x = 172,372.26/538.24
  6. Step 6: Final answer
    x = 320.25

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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.