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Finding the Fourth Proportional to 599.91, 827.90 and 338.01

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Solution

The fourth proportional to 599.91, 827.90 and 338.01 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.91 : 827.90 = 338.01 : x
  2. Step 2: Convert to fraction form
    599.91/827.90 = 338.01/x
  3. Step 3: Cross multiply
    599.91x = 827.90 × 338.01
  4. Step 4: Simplify right side
    599.91x = 279,838.48
  5. Step 5: Solve for x
    x = 279,838.48/599.91
  6. Step 6: Final answer
    x = 466.47

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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.