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Finding the Fourth Proportional to 428.25, 641.86 and 196.94

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Solution

The fourth proportional to 428.25, 641.86 and 196.94 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.25 : 641.86 = 196.94 : x
  2. Step 2: Convert to fraction form
    428.25/641.86 = 196.94/x
  3. Step 3: Cross multiply
    428.25x = 641.86 × 196.94
  4. Step 4: Simplify right side
    428.25x = 126,409.51
  5. Step 5: Solve for x
    x = 126,409.51/428.25
  6. Step 6: Final answer
    x = 295.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.