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Finding the Fourth Proportional to 574.12, 792.44 and 341.36

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Solution

The fourth proportional to 574.12, 792.44 and 341.36 is: 471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.12 : 792.44 = 341.36 : x
  2. Step 2: Convert to fraction form
    574.12/792.44 = 341.36/x
  3. Step 3: Cross multiply
    574.12x = 792.44 × 341.36
  4. Step 4: Simplify right side
    574.12x = 270,507.32
  5. Step 5: Solve for x
    x = 270,507.32/574.12
  6. Step 6: Final answer
    x = 471.17

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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.