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Finding the Fourth Proportional to 574.75, 792.91 and 449.91

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Solution

The fourth proportional to 574.75, 792.91 and 449.91 is: 620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.75 : 792.91 = 449.91 : x
  2. Step 2: Convert to fraction form
    574.75/792.91 = 449.91/x
  3. Step 3: Cross multiply
    574.75x = 792.91 × 449.91
  4. Step 4: Simplify right side
    574.75x = 356,738.14
  5. Step 5: Solve for x
    x = 356,738.14/574.75
  6. Step 6: Final answer
    x = 620.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.