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Finding the Fourth Proportional to 499.04, 746.73 and 411.56

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Solution

The fourth proportional to 499.04, 746.73 and 411.56 is: 615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.04 : 746.73 = 411.56 : x
  2. Step 2: Convert to fraction form
    499.04/746.73 = 411.56/x
  3. Step 3: Cross multiply
    499.04x = 746.73 × 411.56
  4. Step 4: Simplify right side
    499.04x = 307,324.20
  5. Step 5: Solve for x
    x = 307,324.20/499.04
  6. Step 6: Final answer
    x = 615.83

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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.