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Finding the Fourth Proportional to 266.58, 397.44 and 255.06

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Solution

The fourth proportional to 266.58, 397.44 and 255.06 is: 380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.58 : 397.44 = 255.06 : x
  2. Step 2: Convert to fraction form
    266.58/397.44 = 255.06/x
  3. Step 3: Cross multiply
    266.58x = 397.44 × 255.06
  4. Step 4: Simplify right side
    266.58x = 101,371.05
  5. Step 5: Solve for x
    x = 101,371.05/266.58
  6. Step 6: Final answer
    x = 380.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.