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Finding the Fourth Proportional to 399.60, 599.36 and 111.02

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Solution

The fourth proportional to 399.60, 599.36 and 111.02 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.60 : 599.36 = 111.02 : x
  2. Step 2: Convert to fraction form
    399.60/599.36 = 111.02/x
  3. Step 3: Cross multiply
    399.60x = 599.36 × 111.02
  4. Step 4: Simplify right side
    399.60x = 66,540.95
  5. Step 5: Solve for x
    x = 66,540.95/399.60
  6. Step 6: Final answer
    x = 166.52

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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.