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Finding the Fourth Proportional to 600.94, 828.97 and 376.82

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Solution

The fourth proportional to 600.94, 828.97 and 376.82 is: 519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 828.97 = 376.82 : x
  2. Step 2: Convert to fraction form
    600.94/828.97 = 376.82/x
  3. Step 3: Cross multiply
    600.94x = 828.97 × 376.82
  4. Step 4: Simplify right side
    600.94x = 312,372.48
  5. Step 5: Solve for x
    x = 312,372.48/600.94
  6. Step 6: Final answer
    x = 519.81

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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.