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Finding the Fourth Proportional to 506.88, 759.72 and 263.52

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Solution

The fourth proportional to 506.88, 759.72 and 263.52 is: 394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 759.72 = 263.52 : x
  2. Step 2: Convert to fraction form
    506.88/759.72 = 263.52/x
  3. Step 3: Cross multiply
    506.88x = 759.72 × 263.52
  4. Step 4: Simplify right side
    506.88x = 200,201.41
  5. Step 5: Solve for x
    x = 200,201.41/506.88
  6. Step 6: Final answer
    x = 394.97

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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.