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Finding the Fourth Proportional to 517.26, 775.37 and 285.92

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Solution

The fourth proportional to 517.26, 775.37 and 285.92 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.26 : 775.37 = 285.92 : x
  2. Step 2: Convert to fraction form
    517.26/775.37 = 285.92/x
  3. Step 3: Cross multiply
    517.26x = 775.37 × 285.92
  4. Step 4: Simplify right side
    517.26x = 221,688.48
  5. Step 5: Solve for x
    x = 221,688.48/517.26
  6. Step 6: Final answer
    x = 428.58

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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.