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Finding the Fourth Proportional to 427.56, 590.09 and 252.92

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Solution

The fourth proportional to 427.56, 590.09 and 252.92 is: 349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.56 : 590.09 = 252.92 : x
  2. Step 2: Convert to fraction form
    427.56/590.09 = 252.92/x
  3. Step 3: Cross multiply
    427.56x = 590.09 × 252.92
  4. Step 4: Simplify right side
    427.56x = 149,245.56
  5. Step 5: Solve for x
    x = 149,245.56/427.56
  6. Step 6: Final answer
    x = 349.06

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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.