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Finding the Fourth Proportional to 599.14, 827.22 and 441.79

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Solution

The fourth proportional to 599.14, 827.22 and 441.79 is: 609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.14 : 827.22 = 441.79 : x
  2. Step 2: Convert to fraction form
    599.14/827.22 = 441.79/x
  3. Step 3: Cross multiply
    599.14x = 827.22 × 441.79
  4. Step 4: Simplify right side
    599.14x = 365,457.52
  5. Step 5: Solve for x
    x = 365,457.52/599.14
  6. Step 6: Final answer
    x = 609.97

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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.