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Finding the Fourth Proportional to 599.52, 827.34 and 378.24

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Solution

The fourth proportional to 599.52, 827.34 and 378.24 is: 521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 827.34 = 378.24 : x
  2. Step 2: Convert to fraction form
    599.52/827.34 = 378.24/x
  3. Step 3: Cross multiply
    599.52x = 827.34 × 378.24
  4. Step 4: Simplify right side
    599.52x = 312,933.08
  5. Step 5: Solve for x
    x = 312,933.08/599.52
  6. Step 6: Final answer
    x = 521.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.