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Finding the Fourth Proportional to 517.32, 713.86 and 296.26

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Solution

The fourth proportional to 517.32, 713.86 and 296.26 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 713.86 = 296.26 : x
  2. Step 2: Convert to fraction form
    517.32/713.86 = 296.26/x
  3. Step 3: Cross multiply
    517.32x = 713.86 × 296.26
  4. Step 4: Simplify right side
    517.32x = 211,487.42
  5. Step 5: Solve for x
    x = 211,487.42/517.32
  6. Step 6: Final answer
    x = 408.82

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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.