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Finding the Fourth Proportional to 599.43, 827.20 and 337.44

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Solution

The fourth proportional to 599.43, 827.20 and 337.44 is: 465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.43 : 827.20 = 337.44 : x
  2. Step 2: Convert to fraction form
    599.43/827.20 = 337.44/x
  3. Step 3: Cross multiply
    599.43x = 827.20 × 337.44
  4. Step 4: Simplify right side
    599.43x = 279,128.89
  5. Step 5: Solve for x
    x = 279,128.89/599.43
  6. Step 6: Final answer
    x = 465.66

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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.