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Finding the Fourth Proportional to 399.37, 598.47 and 201.44

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Solution

The fourth proportional to 399.37, 598.47 and 201.44 is: 301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.37 : 598.47 = 201.44 : x
  2. Step 2: Convert to fraction form
    399.37/598.47 = 201.44/x
  3. Step 3: Cross multiply
    399.37x = 598.47 × 201.44
  4. Step 4: Simplify right side
    399.37x = 120,556.41
  5. Step 5: Solve for x
    x = 120,556.41/399.37
  6. Step 6: Final answer
    x = 301.86

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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.