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Finding the Fourth Proportional to 506.43, 759.92 and 246.15

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Solution

The fourth proportional to 506.43, 759.92 and 246.15 is: 369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.43 : 759.92 = 246.15 : x
  2. Step 2: Convert to fraction form
    506.43/759.92 = 246.15/x
  3. Step 3: Cross multiply
    506.43x = 759.92 × 246.15
  4. Step 4: Simplify right side
    506.43x = 187,053.08
  5. Step 5: Solve for x
    x = 187,053.08/506.43
  6. Step 6: Final answer
    x = 369.36

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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.