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Finding the Fourth Proportional to 427.24, 641.25 and 183.94

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Solution

The fourth proportional to 427.24, 641.25 and 183.94 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.24 : 641.25 = 183.94 : x
  2. Step 2: Convert to fraction form
    427.24/641.25 = 183.94/x
  3. Step 3: Cross multiply
    427.24x = 641.25 × 183.94
  4. Step 4: Simplify right side
    427.24x = 117,949.92
  5. Step 5: Solve for x
    x = 117,949.92/427.24
  6. Step 6: Final answer
    x = 276.08

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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.