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Finding the Fourth Proportional to 574.03, 792.29 and 338

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Solution

The fourth proportional to 574.03, 792.29 and 338 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.03 : 792.29 = 338 : x
  2. Step 2: Convert to fraction form
    574.03/792.29 = 338/x
  3. Step 3: Cross multiply
    574.03x = 792.29 × 338
  4. Step 4: Simplify right side
    574.03x = 267,794.02
  5. Step 5: Solve for x
    x = 267,794.02/574.03
  6. Step 6: Final answer
    x = 466.52

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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.