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Finding the Fourth Proportional to 538.61, 743.27 and 342.12

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Solution

The fourth proportional to 538.61, 743.27 and 342.12 is: 472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.61 : 743.27 = 342.12 : x
  2. Step 2: Convert to fraction form
    538.61/743.27 = 342.12/x
  3. Step 3: Cross multiply
    538.61x = 743.27 × 342.12
  4. Step 4: Simplify right side
    538.61x = 254,285.82
  5. Step 5: Solve for x
    x = 254,285.82/538.61
  6. Step 6: Final answer
    x = 472.12

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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.