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Finding the Fourth Proportional to 599.52, 827.10 and 378.46

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Solution

The fourth proportional to 599.52, 827.10 and 378.46 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 827.10 = 378.46 : x
  2. Step 2: Convert to fraction form
    599.52/827.10 = 378.46/x
  3. Step 3: Cross multiply
    599.52x = 827.10 × 378.46
  4. Step 4: Simplify right side
    599.52x = 313,024.27
  5. Step 5: Solve for x
    x = 313,024.27/599.52
  6. Step 6: Final answer
    x = 522.12

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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.