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Finding the Fourth Proportional to 376.09, 519.06 and 271.53

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Solution

The fourth proportional to 376.09, 519.06 and 271.53 is: 374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.09 : 519.06 = 271.53 : x
  2. Step 2: Convert to fraction form
    376.09/519.06 = 271.53/x
  3. Step 3: Cross multiply
    376.09x = 519.06 × 271.53
  4. Step 4: Simplify right side
    376.09x = 140,940.36
  5. Step 5: Solve for x
    x = 140,940.36/376.09
  6. Step 6: Final answer
    x = 374.75

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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.