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Finding the Fourth Proportional to 600.28, 827.49 and 367

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Solution

The fourth proportional to 600.28, 827.49 and 367 is: 505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.28 : 827.49 = 367 : x
  2. Step 2: Convert to fraction form
    600.28/827.49 = 367/x
  3. Step 3: Cross multiply
    600.28x = 827.49 × 367
  4. Step 4: Simplify right side
    600.28x = 303,688.83
  5. Step 5: Solve for x
    x = 303,688.83/600.28
  6. Step 6: Final answer
    x = 505.91

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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.