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Finding the Fourth Proportional to 599.91, 827.86 and 337.92

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Solution

The fourth proportional to 599.91, 827.86 and 337.92 is: 466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.91 : 827.86 = 337.92 : x
  2. Step 2: Convert to fraction form
    599.91/827.86 = 337.92/x
  3. Step 3: Cross multiply
    599.91x = 827.86 × 337.92
  4. Step 4: Simplify right side
    599.91x = 279,750.45
  5. Step 5: Solve for x
    x = 279,750.45/599.91
  6. Step 6: Final answer
    x = 466.32

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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.