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Finding the Fourth Proportional to 599.50, 827.10 and 378.37

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Solution

The fourth proportional to 599.50, 827.10 and 378.37 is: 522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.50 : 827.10 = 378.37 : x
  2. Step 2: Convert to fraction form
    599.50/827.10 = 378.37/x
  3. Step 3: Cross multiply
    599.50x = 827.10 × 378.37
  4. Step 4: Simplify right side
    599.50x = 312,949.83
  5. Step 5: Solve for x
    x = 312,949.83/599.50
  6. Step 6: Final answer
    x = 522.02

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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.