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Finding the Fourth Proportional to 492.43, 739.19 and 276.19

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Solution

The fourth proportional to 492.43, 739.19 and 276.19 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.43 : 739.19 = 276.19 : x
  2. Step 2: Convert to fraction form
    492.43/739.19 = 276.19/x
  3. Step 3: Cross multiply
    492.43x = 739.19 × 276.19
  4. Step 4: Simplify right side
    492.43x = 204,156.89
  5. Step 5: Solve for x
    x = 204,156.89/492.43
  6. Step 6: Final answer
    x = 414.59

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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.