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Finding the Fourth Proportional to 523.87, 786.20 and 422.37

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Solution

The fourth proportional to 523.87, 786.20 and 422.37 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 786.20 = 422.37 : x
  2. Step 2: Convert to fraction form
    523.87/786.20 = 422.37/x
  3. Step 3: Cross multiply
    523.87x = 786.20 × 422.37
  4. Step 4: Simplify right side
    523.87x = 332,065.18
  5. Step 5: Solve for x
    x = 332,065.18/523.87
  6. Step 6: Final answer
    x = 633.87

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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.