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Finding the Fourth Proportional to 506.62, 759.41 and 246.46

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Solution

The fourth proportional to 506.62, 759.41 and 246.46 is: 369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.62 : 759.41 = 246.46 : x
  2. Step 2: Convert to fraction form
    506.62/759.41 = 246.46/x
  3. Step 3: Cross multiply
    506.62x = 759.41 × 246.46
  4. Step 4: Simplify right side
    506.62x = 187,161.24
  5. Step 5: Solve for x
    x = 187,161.24/506.62
  6. Step 6: Final answer
    x = 369.43

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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.