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Finding the Fourth Proportional to 393.99, 591.01 and 133.88

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Solution

The fourth proportional to 393.99, 591.01 and 133.88 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.99 : 591.01 = 133.88 : x
  2. Step 2: Convert to fraction form
    393.99/591.01 = 133.88/x
  3. Step 3: Cross multiply
    393.99x = 591.01 × 133.88
  4. Step 4: Simplify right side
    393.99x = 79,125.81
  5. Step 5: Solve for x
    x = 79,125.81/393.99
  6. Step 6: Final answer
    x = 200.83

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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.