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Finding the Fourth Proportional to 599.78, 827.61 and 334.22

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Solution

The fourth proportional to 599.78, 827.61 and 334.22 is: 461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 827.61 = 334.22 : x
  2. Step 2: Convert to fraction form
    599.78/827.61 = 334.22/x
  3. Step 3: Cross multiply
    599.78x = 827.61 × 334.22
  4. Step 4: Simplify right side
    599.78x = 276,599.68
  5. Step 5: Solve for x
    x = 276,599.68/599.78
  6. Step 6: Final answer
    x = 461.17

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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.