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Finding the Fourth Proportional to 399.89, 599.83 and 180.43

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Solution

The fourth proportional to 399.89, 599.83 and 180.43 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.89 : 599.83 = 180.43 : x
  2. Step 2: Convert to fraction form
    399.89/599.83 = 180.43/x
  3. Step 3: Cross multiply
    399.89x = 599.83 × 180.43
  4. Step 4: Simplify right side
    399.89x = 108,225.88
  5. Step 5: Solve for x
    x = 108,225.88/399.89
  6. Step 6: Final answer
    x = 270.64

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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.