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Finding the Fourth Proportional to 393.89, 591.01 and 201.65

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Solution

The fourth proportional to 393.89, 591.01 and 201.65 is: 302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.89 : 591.01 = 201.65 : x
  2. Step 2: Convert to fraction form
    393.89/591.01 = 201.65/x
  3. Step 3: Cross multiply
    393.89x = 591.01 × 201.65
  4. Step 4: Simplify right side
    393.89x = 119,173.71
  5. Step 5: Solve for x
    x = 119,173.71/393.89
  6. Step 6: Final answer
    x = 302.56

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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.