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Finding the Fourth Proportional to 517.26, 713.68 and 342.57

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Solution

The fourth proportional to 517.26, 713.68 and 342.57 is: 472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.26 : 713.68 = 342.57 : x
  2. Step 2: Convert to fraction form
    517.26/713.68 = 342.57/x
  3. Step 3: Cross multiply
    517.26x = 713.68 × 342.57
  4. Step 4: Simplify right side
    517.26x = 244,485.36
  5. Step 5: Solve for x
    x = 244,485.36/517.26
  6. Step 6: Final answer
    x = 472.65

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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.