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Finding the Fourth Proportional to 517.44, 713.52 and 342.48

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Solution

The fourth proportional to 517.44, 713.52 and 342.48 is: 472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.44 : 713.52 = 342.48 : x
  2. Step 2: Convert to fraction form
    517.44/713.52 = 342.48/x
  3. Step 3: Cross multiply
    517.44x = 713.52 × 342.48
  4. Step 4: Simplify right side
    517.44x = 244,366.33
  5. Step 5: Solve for x
    x = 244,366.33/517.44
  6. Step 6: Final answer
    x = 472.26

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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.