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Finding the Fourth Proportional to 574.44, 792.67 and 338.55

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Solution

The fourth proportional to 574.44, 792.67 and 338.55 is: 467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.44 : 792.67 = 338.55 : x
  2. Step 2: Convert to fraction form
    574.44/792.67 = 338.55/x
  3. Step 3: Cross multiply
    574.44x = 792.67 × 338.55
  4. Step 4: Simplify right side
    574.44x = 268,358.43
  5. Step 5: Solve for x
    x = 268,358.43/574.44
  6. Step 6: Final answer
    x = 467.17

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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.