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Finding the Fourth Proportional to 574.34, 793.25 and 378.73

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Solution

The fourth proportional to 574.34, 793.25 and 378.73 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.34 : 793.25 = 378.73 : x
  2. Step 2: Convert to fraction form
    574.34/793.25 = 378.73/x
  3. Step 3: Cross multiply
    574.34x = 793.25 × 378.73
  4. Step 4: Simplify right side
    574.34x = 300,426.54
  5. Step 5: Solve for x
    x = 300,426.54/574.34
  6. Step 6: Final answer
    x = 523.08

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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.