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Finding the Fourth Proportional to 506.32, 759.45 and 246.27

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Solution

The fourth proportional to 506.32, 759.45 and 246.27 is: 369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 759.45 = 246.27 : x
  2. Step 2: Convert to fraction form
    506.32/759.45 = 246.27/x
  3. Step 3: Cross multiply
    506.32x = 759.45 × 246.27
  4. Step 4: Simplify right side
    506.32x = 187,033.52
  5. Step 5: Solve for x
    x = 187,033.52/506.32
  6. Step 6: Final answer
    x = 369.40

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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.