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Finding the Fourth Proportional to 380.19, 523.87 and 255.66

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Solution

The fourth proportional to 380.19, 523.87 and 255.66 is: 352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 523.87 = 255.66 : x
  2. Step 2: Convert to fraction form
    380.19/523.87 = 255.66/x
  3. Step 3: Cross multiply
    380.19x = 523.87 × 255.66
  4. Step 4: Simplify right side
    380.19x = 133,930.00
  5. Step 5: Solve for x
    x = 133,930.00/380.19
  6. Step 6: Final answer
    x = 352.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.