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Finding the Fourth Proportional to 376.83, 520.17 and 266.49

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Solution

The fourth proportional to 376.83, 520.17 and 266.49 is: 367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.83 : 520.17 = 266.49 : x
  2. Step 2: Convert to fraction form
    376.83/520.17 = 266.49/x
  3. Step 3: Cross multiply
    376.83x = 520.17 × 266.49
  4. Step 4: Simplify right side
    376.83x = 138,620.10
  5. Step 5: Solve for x
    x = 138,620.10/376.83
  6. Step 6: Final answer
    x = 367.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.