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Finding the Fourth Proportional to 574.31, 792.55 and 338.27

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Solution

The fourth proportional to 574.31, 792.55 and 338.27 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.31 : 792.55 = 338.27 : x
  2. Step 2: Convert to fraction form
    574.31/792.55 = 338.27/x
  3. Step 3: Cross multiply
    574.31x = 792.55 × 338.27
  4. Step 4: Simplify right side
    574.31x = 268,091.93
  5. Step 5: Solve for x
    x = 268,091.93/574.31
  6. Step 6: Final answer
    x = 466.81

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Why These Related Problems?

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