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Finding the Fourth Proportional to 538.24, 810.46 and 394.96

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Solution

The fourth proportional to 538.24, 810.46 and 394.96 is: 594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 810.46 = 394.96 : x
  2. Step 2: Convert to fraction form
    538.24/810.46 = 394.96/x
  3. Step 3: Cross multiply
    538.24x = 810.46 × 394.96
  4. Step 4: Simplify right side
    538.24x = 320,099.28
  5. Step 5: Solve for x
    x = 320,099.28/538.24
  6. Step 6: Final answer
    x = 594.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.