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Finding the Fourth Proportional to 599.68, 827.76 and 379

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Solution

The fourth proportional to 599.68, 827.76 and 379 is: 523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.68 : 827.76 = 379 : x
  2. Step 2: Convert to fraction form
    599.68/827.76 = 379/x
  3. Step 3: Cross multiply
    599.68x = 827.76 × 379
  4. Step 4: Simplify right side
    599.68x = 313,721.04
  5. Step 5: Solve for x
    x = 313,721.04/599.68
  6. Step 6: Final answer
    x = 523.15

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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.