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Finding the Fourth Proportional to 264.86, 395.28 and 254.27

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Solution

The fourth proportional to 264.86, 395.28 and 254.27 is: 379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.86 : 395.28 = 254.27 : x
  2. Step 2: Convert to fraction form
    264.86/395.28 = 254.27/x
  3. Step 3: Cross multiply
    264.86x = 395.28 × 254.27
  4. Step 4: Simplify right side
    264.86x = 100,507.85
  5. Step 5: Solve for x
    x = 100,507.85/264.86
  6. Step 6: Final answer
    x = 379.48

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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.