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Finding the Fourth Proportional to 264.33, 393.90 and 255.63

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Solution

The fourth proportional to 264.33, 393.90 and 255.63 is: 380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.33 : 393.90 = 255.63 : x
  2. Step 2: Convert to fraction form
    264.33/393.90 = 255.63/x
  3. Step 3: Cross multiply
    264.33x = 393.90 × 255.63
  4. Step 4: Simplify right side
    264.33x = 100,692.66
  5. Step 5: Solve for x
    x = 100,692.66/264.33
  6. Step 6: Final answer
    x = 380.94

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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.