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Finding the Fourth Proportional to 393.26, 590.07 and 201.02

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Solution

The fourth proportional to 393.26, 590.07 and 201.02 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 590.07 = 201.02 : x
  2. Step 2: Convert to fraction form
    393.26/590.07 = 201.02/x
  3. Step 3: Cross multiply
    393.26x = 590.07 × 201.02
  4. Step 4: Simplify right side
    393.26x = 118,615.87
  5. Step 5: Solve for x
    x = 118,615.87/393.26
  6. Step 6: Final answer
    x = 301.62

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