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Finding the Fourth Proportional to 427.48, 641.42 and 180.74

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Solution

The fourth proportional to 427.48, 641.42 and 180.74 is: 271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.48 : 641.42 = 180.74 : x
  2. Step 2: Convert to fraction form
    427.48/641.42 = 180.74/x
  3. Step 3: Cross multiply
    427.48x = 641.42 × 180.74
  4. Step 4: Simplify right side
    427.48x = 115,930.25
  5. Step 5: Solve for x
    x = 115,930.25/427.48
  6. Step 6: Final answer
    x = 271.19

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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.