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Finding the Fourth Proportional to 305.05, 418.94 and 255.84

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Solution

The fourth proportional to 305.05, 418.94 and 255.84 is: 351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.05 : 418.94 = 255.84 : x
  2. Step 2: Convert to fraction form
    305.05/418.94 = 255.84/x
  3. Step 3: Cross multiply
    305.05x = 418.94 × 255.84
  4. Step 4: Simplify right side
    305.05x = 107,180.33
  5. Step 5: Solve for x
    x = 107,180.33/305.05
  6. Step 6: Final answer
    x = 351.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.