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Finding the Fourth Proportional to 427.18, 640.41 and 170.50

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Solution

The fourth proportional to 427.18, 640.41 and 170.50 is: 255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.18 : 640.41 = 170.50 : x
  2. Step 2: Convert to fraction form
    427.18/640.41 = 170.50/x
  3. Step 3: Cross multiply
    427.18x = 640.41 × 170.50
  4. Step 4: Simplify right side
    427.18x = 109,189.91
  5. Step 5: Solve for x
    x = 109,189.91/427.18
  6. Step 6: Final answer
    x = 255.61

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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.