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Finding the Fourth Proportional to 538.48, 742.71 and 351.61

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Solution

The fourth proportional to 538.48, 742.71 and 351.61 is: 484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 742.71 = 351.61 : x
  2. Step 2: Convert to fraction form
    538.48/742.71 = 351.61/x
  3. Step 3: Cross multiply
    538.48x = 742.71 × 351.61
  4. Step 4: Simplify right side
    538.48x = 261,144.26
  5. Step 5: Solve for x
    x = 261,144.26/538.48
  6. Step 6: Final answer
    x = 484.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.