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Finding the Fourth Proportional to 574.56, 793.09 and 427.68

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Solution

The fourth proportional to 574.56, 793.09 and 427.68 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 793.09 = 427.68 : x
  2. Step 2: Convert to fraction form
    574.56/793.09 = 427.68/x
  3. Step 3: Cross multiply
    574.56x = 793.09 × 427.68
  4. Step 4: Simplify right side
    574.56x = 339,188.73
  5. Step 5: Solve for x
    x = 339,188.73/574.56
  6. Step 6: Final answer
    x = 590.35

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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.