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Finding the Fourth Proportional to 494, 739.17 and 310.54

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Solution

The fourth proportional to 494, 739.17 and 310.54 is: 464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494 : 739.17 = 310.54 : x
  2. Step 2: Convert to fraction form
    494/739.17 = 310.54/x
  3. Step 3: Cross multiply
    494x = 739.17 × 310.54
  4. Step 4: Simplify right side
    494x = 229,541.85
  5. Step 5: Solve for x
    x = 229,541.85/494
  6. Step 6: Final answer
    x = 464.66

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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.