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Finding the Fourth Proportional to 517.26, 713.84 and 296.16

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Solution

The fourth proportional to 517.26, 713.84 and 296.16 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.26 : 713.84 = 296.16 : x
  2. Step 2: Convert to fraction form
    517.26/713.84 = 296.16/x
  3. Step 3: Cross multiply
    517.26x = 713.84 × 296.16
  4. Step 4: Simplify right side
    517.26x = 211,410.85
  5. Step 5: Solve for x
    x = 211,410.85/517.26
  6. Step 6: Final answer
    x = 408.71

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Why These Related Problems?

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