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Finding the Fourth Proportional to 574.56, 792.44 and 364.56

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Solution

The fourth proportional to 574.56, 792.44 and 364.56 is: 502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 792.44 = 364.56 : x
  2. Step 2: Convert to fraction form
    574.56/792.44 = 364.56/x
  3. Step 3: Cross multiply
    574.56x = 792.44 × 364.56
  4. Step 4: Simplify right side
    574.56x = 288,891.93
  5. Step 5: Solve for x
    x = 288,891.93/574.56
  6. Step 6: Final answer
    x = 502.81

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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.