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Finding the Fourth Proportional to 538.09, 807.23 and 213.48

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Solution

The fourth proportional to 538.09, 807.23 and 213.48 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.09 : 807.23 = 213.48 : x
  2. Step 2: Convert to fraction form
    538.09/807.23 = 213.48/x
  3. Step 3: Cross multiply
    538.09x = 807.23 × 213.48
  4. Step 4: Simplify right side
    538.09x = 172,326.39
  5. Step 5: Solve for x
    x = 172,326.39/538.09
  6. Step 6: Final answer
    x = 320.26

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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.