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Finding the Fourth Proportional to 428.22, 590.94 and 231.73

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Solution

The fourth proportional to 428.22, 590.94 and 231.73 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 590.94 = 231.73 : x
  2. Step 2: Convert to fraction form
    428.22/590.94 = 231.73/x
  3. Step 3: Cross multiply
    428.22x = 590.94 × 231.73
  4. Step 4: Simplify right side
    428.22x = 136,937.01
  5. Step 5: Solve for x
    x = 136,937.01/428.22
  6. Step 6: Final answer
    x = 319.78

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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.