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Finding the Fourth Proportional to 399.66, 599.43 and 180.24

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Solution

The fourth proportional to 399.66, 599.43 and 180.24 is: 270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.66 : 599.43 = 180.24 : x
  2. Step 2: Convert to fraction form
    399.66/599.43 = 180.24/x
  3. Step 3: Cross multiply
    399.66x = 599.43 × 180.24
  4. Step 4: Simplify right side
    399.66x = 108,041.26
  5. Step 5: Solve for x
    x = 108,041.26/399.66
  6. Step 6: Final answer
    x = 270.33

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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.