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Finding the Fourth Proportional to 574.15, 791.86 and 353.02

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Solution

The fourth proportional to 574.15, 791.86 and 353.02 is: 486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.15 : 791.86 = 353.02 : x
  2. Step 2: Convert to fraction form
    574.15/791.86 = 353.02/x
  3. Step 3: Cross multiply
    574.15x = 791.86 × 353.02
  4. Step 4: Simplify right side
    574.15x = 279,540.65
  5. Step 5: Solve for x
    x = 279,540.65/574.15
  6. Step 6: Final answer
    x = 486.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.