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Finding the Fourth Proportional to 264.15, 395.79 and 254.02

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Solution

The fourth proportional to 264.15, 395.79 and 254.02 is: 380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.15 : 395.79 = 254.02 : x
  2. Step 2: Convert to fraction form
    264.15/395.79 = 254.02/x
  3. Step 3: Cross multiply
    264.15x = 395.79 × 254.02
  4. Step 4: Simplify right side
    264.15x = 100,540.75
  5. Step 5: Solve for x
    x = 100,540.75/264.15
  6. Step 6: Final answer
    x = 380.62

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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.