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Finding the Fourth Proportional to 574.12, 792.66 and 419.56

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Solution

The fourth proportional to 574.12, 792.66 and 419.56 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.12 : 792.66 = 419.56 : x
  2. Step 2: Convert to fraction form
    574.12/792.66 = 419.56/x
  3. Step 3: Cross multiply
    574.12x = 792.66 × 419.56
  4. Step 4: Simplify right side
    574.12x = 332,568.43
  5. Step 5: Solve for x
    x = 332,568.43/574.12
  6. Step 6: Final answer
    x = 579.27

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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.