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Finding the Fourth Proportional to 506.48, 759.74 and 246.44

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Solution

The fourth proportional to 506.48, 759.74 and 246.44 is: 369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 759.74 = 246.44 : x
  2. Step 2: Convert to fraction form
    506.48/759.74 = 246.44/x
  3. Step 3: Cross multiply
    506.48x = 759.74 × 246.44
  4. Step 4: Simplify right side
    506.48x = 187,230.33
  5. Step 5: Solve for x
    x = 187,230.33/506.48
  6. Step 6: Final answer
    x = 369.67

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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.