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Finding the Fourth Proportional to 506.58, 759.87 and 182.19

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Solution

The fourth proportional to 506.58, 759.87 and 182.19 is: 273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.58 : 759.87 = 182.19 : x
  2. Step 2: Convert to fraction form
    506.58/759.87 = 182.19/x
  3. Step 3: Cross multiply
    506.58x = 759.87 × 182.19
  4. Step 4: Simplify right side
    506.58x = 138,440.72
  5. Step 5: Solve for x
    x = 138,440.72/506.58
  6. Step 6: Final answer
    x = 273.29

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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.