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Finding the Fourth Proportional to 493.70, 739.60 and 276.62

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Solution

The fourth proportional to 493.70, 739.60 and 276.62 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 739.60 = 276.62 : x
  2. Step 2: Convert to fraction form
    493.70/739.60 = 276.62/x
  3. Step 3: Cross multiply
    493.70x = 739.60 × 276.62
  4. Step 4: Simplify right side
    493.70x = 204,588.15
  5. Step 5: Solve for x
    x = 204,588.15/493.70
  6. Step 6: Final answer
    x = 414.40

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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.