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Finding the Fourth Proportional to 538.02, 806.54 and 213.62

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Solution

The fourth proportional to 538.02, 806.54 and 213.62 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.02 : 806.54 = 213.62 : x
  2. Step 2: Convert to fraction form
    538.02/806.54 = 213.62/x
  3. Step 3: Cross multiply
    538.02x = 806.54 × 213.62
  4. Step 4: Simplify right side
    538.02x = 172,287.97
  5. Step 5: Solve for x
    x = 172,287.97/538.02
  6. Step 6: Final answer
    x = 320.23

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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.