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Finding the Fourth Proportional to 538.86, 743.31 and 331.50

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Solution

The fourth proportional to 538.86, 743.31 and 331.50 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 743.31 = 331.50 : x
  2. Step 2: Convert to fraction form
    538.86/743.31 = 331.50/x
  3. Step 3: Cross multiply
    538.86x = 743.31 × 331.50
  4. Step 4: Simplify right side
    538.86x = 246,407.27
  5. Step 5: Solve for x
    x = 246,407.27/538.86
  6. Step 6: Final answer
    x = 457.28

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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.