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Finding the Fourth Proportional to 599.45, 827.10 and 378.68

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Solution

The fourth proportional to 599.45, 827.10 and 378.68 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.45 : 827.10 = 378.68 : x
  2. Step 2: Convert to fraction form
    599.45/827.10 = 378.68/x
  3. Step 3: Cross multiply
    599.45x = 827.10 × 378.68
  4. Step 4: Simplify right side
    599.45x = 313,202.09
  5. Step 5: Solve for x
    x = 313,202.09/599.45
  6. Step 6: Final answer
    x = 522.49

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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.