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Finding the Fourth Proportional to 517.41, 713.97 and 296.37

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Solution

The fourth proportional to 517.41, 713.97 and 296.37 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.41 : 713.97 = 296.37 : x
  2. Step 2: Convert to fraction form
    517.41/713.97 = 296.37/x
  3. Step 3: Cross multiply
    517.41x = 713.97 × 296.37
  4. Step 4: Simplify right side
    517.41x = 211,599.29
  5. Step 5: Solve for x
    x = 211,599.29/517.41
  6. Step 6: Final answer
    x = 408.96

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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.