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Finding the Fourth Proportional to 493.12, 739.16 and 467.48

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Solution

The fourth proportional to 493.12, 739.16 and 467.48 is: 700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.12 : 739.16 = 467.48 : x
  2. Step 2: Convert to fraction form
    493.12/739.16 = 467.48/x
  3. Step 3: Cross multiply
    493.12x = 739.16 × 467.48
  4. Step 4: Simplify right side
    493.12x = 345,542.03
  5. Step 5: Solve for x
    x = 345,542.03/493.12
  6. Step 6: Final answer
    x = 700.73

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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.