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Finding the Fourth Proportional to 517.74, 775.28 and 286.37

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Solution

The fourth proportional to 517.74, 775.28 and 286.37 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.74 : 775.28 = 286.37 : x
  2. Step 2: Convert to fraction form
    517.74/775.28 = 286.37/x
  3. Step 3: Cross multiply
    517.74x = 775.28 × 286.37
  4. Step 4: Simplify right side
    517.74x = 222,016.93
  5. Step 5: Solve for x
    x = 222,016.93/517.74
  6. Step 6: Final answer
    x = 428.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.