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Finding the Fourth Proportional to 376, 519 and 238

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Solution

The fourth proportional to 376, 519 and 238 is: 328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376 : 519 = 238 : x
  2. Step 2: Convert to fraction form
    376/519 = 238/x
  3. Step 3: Cross multiply
    376x = 519 × 238
  4. Step 4: Simplify right side
    376x = 123,522
  5. Step 5: Solve for x
    x = 123,522/376
  6. Step 6: Final answer
    x = 328.52

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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.