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Finding the Fourth Proportional to 538.72, 806.27 and 379.82

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Solution

The fourth proportional to 538.72, 806.27 and 379.82 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.72 : 806.27 = 379.82 : x
  2. Step 2: Convert to fraction form
    538.72/806.27 = 379.82/x
  3. Step 3: Cross multiply
    538.72x = 806.27 × 379.82
  4. Step 4: Simplify right side
    538.72x = 306,237.47
  5. Step 5: Solve for x
    x = 306,237.47/538.72
  6. Step 6: Final answer
    x = 568.45

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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.