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Finding the Fourth Proportional to 276.17, 383.13 and 262.80

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Solution

The fourth proportional to 276.17, 383.13 and 262.80 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.17 : 383.13 = 262.80 : x
  2. Step 2: Convert to fraction form
    276.17/383.13 = 262.80/x
  3. Step 3: Cross multiply
    276.17x = 383.13 × 262.80
  4. Step 4: Simplify right side
    276.17x = 100,686.56
  5. Step 5: Solve for x
    x = 100,686.56/276.17
  6. Step 6: Final answer
    x = 364.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.