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Finding the Fourth Proportional to 599.58, 827.34 and 378.44

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Solution

The fourth proportional to 599.58, 827.34 and 378.44 is: 522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.58 : 827.34 = 378.44 : x
  2. Step 2: Convert to fraction form
    599.58/827.34 = 378.44/x
  3. Step 3: Cross multiply
    599.58x = 827.34 × 378.44
  4. Step 4: Simplify right side
    599.58x = 313,098.55
  5. Step 5: Solve for x
    x = 313,098.55/599.58
  6. Step 6: Final answer
    x = 522.20

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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.