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Finding the Fourth Proportional to 428.21, 590.96 and 241.73

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Solution

The fourth proportional to 428.21, 590.96 and 241.73 is: 333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.21 : 590.96 = 241.73 : x
  2. Step 2: Convert to fraction form
    428.21/590.96 = 241.73/x
  3. Step 3: Cross multiply
    428.21x = 590.96 × 241.73
  4. Step 4: Simplify right side
    428.21x = 142,852.63
  5. Step 5: Solve for x
    x = 142,852.63/428.21
  6. Step 6: Final answer
    x = 333.61

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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.