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Finding the Fourth Proportional to 428.46, 591.26 and 241.93

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Solution

The fourth proportional to 428.46, 591.26 and 241.93 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.46 : 591.26 = 241.93 : x
  2. Step 2: Convert to fraction form
    428.46/591.26 = 241.93/x
  3. Step 3: Cross multiply
    428.46x = 591.26 × 241.93
  4. Step 4: Simplify right side
    428.46x = 143,042.32
  5. Step 5: Solve for x
    x = 143,042.32/428.46
  6. Step 6: Final answer
    x = 333.86

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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.