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Finding the Fourth Proportional to 506.38, 759.72 and 263.08

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Solution

The fourth proportional to 506.38, 759.72 and 263.08 is: 394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.38 : 759.72 = 263.08 : x
  2. Step 2: Convert to fraction form
    506.38/759.72 = 263.08/x
  3. Step 3: Cross multiply
    506.38x = 759.72 × 263.08
  4. Step 4: Simplify right side
    506.38x = 199,867.14
  5. Step 5: Solve for x
    x = 199,867.14/506.38
  6. Step 6: Final answer
    x = 394.70

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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.