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Finding the Fourth Proportional to 517.50, 713.96 and 296.30

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Solution

The fourth proportional to 517.50, 713.96 and 296.30 is: 408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 713.96 = 296.30 : x
  2. Step 2: Convert to fraction form
    517.50/713.96 = 296.30/x
  3. Step 3: Cross multiply
    517.50x = 713.96 × 296.30
  4. Step 4: Simplify right side
    517.50x = 211,546.35
  5. Step 5: Solve for x
    x = 211,546.35/517.50
  6. Step 6: Final answer
    x = 408.79

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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.