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Finding the Fourth Proportional to 599.56, 899.05 and 229.38

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Solution

The fourth proportional to 599.56, 899.05 and 229.38 is: 343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.56 : 899.05 = 229.38 : x
  2. Step 2: Convert to fraction form
    599.56/899.05 = 229.38/x
  3. Step 3: Cross multiply
    599.56x = 899.05 × 229.38
  4. Step 4: Simplify right side
    599.56x = 206,224.09
  5. Step 5: Solve for x
    x = 206,224.09/599.56
  6. Step 6: Final answer
    x = 343.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.