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Finding the Fourth Proportional to 574, 792 and 449.44

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Solution

The fourth proportional to 574, 792 and 449.44 is: 620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 792 = 449.44 : x
  2. Step 2: Convert to fraction form
    574/792 = 449.44/x
  3. Step 3: Cross multiply
    574x = 792 × 449.44
  4. Step 4: Simplify right side
    574x = 355,956.48
  5. Step 5: Solve for x
    x = 355,956.48/574
  6. Step 6: Final answer
    x = 620.13

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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.