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Finding the Fourth Proportional to 574.56, 789.36 and 505.44

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Solution

The fourth proportional to 574.56, 789.36 and 505.44 is: 694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 789.36 = 505.44 : x
  2. Step 2: Convert to fraction form
    574.56/789.36 = 505.44/x
  3. Step 3: Cross multiply
    574.56x = 789.36 × 505.44
  4. Step 4: Simplify right side
    574.56x = 398,974.12
  5. Step 5: Solve for x
    x = 398,974.12/574.56
  6. Step 6: Final answer
    x = 694.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.