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Finding the Fourth Proportional to 574.66, 792.94 and 338.64

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Solution

The fourth proportional to 574.66, 792.94 and 338.64 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.66 : 792.94 = 338.64 : x
  2. Step 2: Convert to fraction form
    574.66/792.94 = 338.64/x
  3. Step 3: Cross multiply
    574.66x = 792.94 × 338.64
  4. Step 4: Simplify right side
    574.66x = 268,523.59
  5. Step 5: Solve for x
    x = 268,523.59/574.66
  6. Step 6: Final answer
    x = 467.28

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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.