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Finding the Fourth Proportional to 428.60, 642.65 and 168.41

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Solution

The fourth proportional to 428.60, 642.65 and 168.41 is: 252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.60 : 642.65 = 168.41 : x
  2. Step 2: Convert to fraction form
    428.60/642.65 = 168.41/x
  3. Step 3: Cross multiply
    428.60x = 642.65 × 168.41
  4. Step 4: Simplify right side
    428.60x = 108,224.63
  5. Step 5: Solve for x
    x = 108,224.63/428.60
  6. Step 6: Final answer
    x = 252.51

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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.