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Finding the Fourth Proportional to 574.33, 792.52 and 338.24

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Solution

The fourth proportional to 574.33, 792.52 and 338.24 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.33 : 792.52 = 338.24 : x
  2. Step 2: Convert to fraction form
    574.33/792.52 = 338.24/x
  3. Step 3: Cross multiply
    574.33x = 792.52 × 338.24
  4. Step 4: Simplify right side
    574.33x = 268,061.96
  5. Step 5: Solve for x
    x = 268,061.96/574.33
  6. Step 6: Final answer
    x = 466.74

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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.