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Finding the Fourth Proportional to 574.46, 792.87 and 341.54

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Solution

The fourth proportional to 574.46, 792.87 and 341.54 is: 471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.46 : 792.87 = 341.54 : x
  2. Step 2: Convert to fraction form
    574.46/792.87 = 341.54/x
  3. Step 3: Cross multiply
    574.46x = 792.87 × 341.54
  4. Step 4: Simplify right side
    574.46x = 270,796.82
  5. Step 5: Solve for x
    x = 270,796.82/574.46
  6. Step 6: Final answer
    x = 471.39

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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.