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Finding the Fourth Proportional to 506.74, 759.96 and 301.41

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Solution

The fourth proportional to 506.74, 759.96 and 301.41 is: 452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 759.96 = 301.41 : x
  2. Step 2: Convert to fraction form
    506.74/759.96 = 301.41/x
  3. Step 3: Cross multiply
    506.74x = 759.96 × 301.41
  4. Step 4: Simplify right side
    506.74x = 229,059.54
  5. Step 5: Solve for x
    x = 229,059.54/506.74
  6. Step 6: Final answer
    x = 452.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.