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Finding the Fourth Proportional to 428.25, 642.41 and 171.75

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Solution

The fourth proportional to 428.25, 642.41 and 171.75 is: 257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.25 : 642.41 = 171.75 : x
  2. Step 2: Convert to fraction form
    428.25/642.41 = 171.75/x
  3. Step 3: Cross multiply
    428.25x = 642.41 × 171.75
  4. Step 4: Simplify right side
    428.25x = 110,333.06
  5. Step 5: Solve for x
    x = 110,333.06/428.25
  6. Step 6: Final answer
    x = 257.64

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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.