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Finding the Fourth Proportional to 517.23, 713.77 and 296.17

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Solution

The fourth proportional to 517.23, 713.77 and 296.17 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.23 : 713.77 = 296.17 : x
  2. Step 2: Convert to fraction form
    517.23/713.77 = 296.17/x
  3. Step 3: Cross multiply
    517.23x = 713.77 × 296.17
  4. Step 4: Simplify right side
    517.23x = 211,397.26
  5. Step 5: Solve for x
    x = 211,397.26/517.23
  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.