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Finding the Fourth Proportional to 427.75, 641.66 and 171.25

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Solution

The fourth proportional to 427.75, 641.66 and 171.25 is: 256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 641.66 = 171.25 : x
  2. Step 2: Convert to fraction form
    427.75/641.66 = 171.25/x
  3. Step 3: Cross multiply
    427.75x = 641.66 × 171.25
  4. Step 4: Simplify right side
    427.75x = 109,883.42
  5. Step 5: Solve for x
    x = 109,883.42/427.75
  6. Step 6: Final answer
    x = 256.89

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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.