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Finding the Fourth Proportional to 599.42, 827.24 and 378.66

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Solution

The fourth proportional to 599.42, 827.24 and 378.66 is: 522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.42 : 827.24 = 378.66 : x
  2. Step 2: Convert to fraction form
    599.42/827.24 = 378.66/x
  3. Step 3: Cross multiply
    599.42x = 827.24 × 378.66
  4. Step 4: Simplify right side
    599.42x = 313,242.70
  5. Step 5: Solve for x
    x = 313,242.70/599.42
  6. Step 6: Final answer
    x = 522.58

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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.