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Finding the Fourth Proportional to 538.36, 807.84 and 213.82

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Solution

The fourth proportional to 538.36, 807.84 and 213.82 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.36 : 807.84 = 213.82 : x
  2. Step 2: Convert to fraction form
    538.36/807.84 = 213.82/x
  3. Step 3: Cross multiply
    538.36x = 807.84 × 213.82
  4. Step 4: Simplify right side
    538.36x = 172,732.35
  5. Step 5: Solve for x
    x = 172,732.35/538.36
  6. Step 6: Final answer
    x = 320.85

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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.