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Finding the Fourth Proportional to 574.40, 793.34 and 378.80

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Solution

The fourth proportional to 574.40, 793.34 and 378.80 is: 523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.40 : 793.34 = 378.80 : x
  2. Step 2: Convert to fraction form
    574.40/793.34 = 378.80/x
  3. Step 3: Cross multiply
    574.40x = 793.34 × 378.80
  4. Step 4: Simplify right side
    574.40x = 300,517.19
  5. Step 5: Solve for x
    x = 300,517.19/574.40
  6. Step 6: Final answer
    x = 523.18

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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.