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Finding the Fourth Proportional to 264.36, 395.46 and 255

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Solution

The fourth proportional to 264.36, 395.46 and 255 is: 381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.36 : 395.46 = 255 : x
  2. Step 2: Convert to fraction form
    264.36/395.46 = 255/x
  3. Step 3: Cross multiply
    264.36x = 395.46 × 255
  4. Step 4: Simplify right side
    264.36x = 100,842.30
  5. Step 5: Solve for x
    x = 100,842.30/264.36
  6. Step 6: Final answer
    x = 381.46

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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.