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Finding the Fourth Proportional to 396.63, 594.74 and 122.66

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Solution

The fourth proportional to 396.63, 594.74 and 122.66 is: 183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 594.74 = 122.66 : x
  2. Step 2: Convert to fraction form
    396.63/594.74 = 122.66/x
  3. Step 3: Cross multiply
    396.63x = 594.74 × 122.66
  4. Step 4: Simplify right side
    396.63x = 72,947.22
  5. Step 5: Solve for x
    x = 72,947.22/396.63
  6. Step 6: Final answer
    x = 183.92

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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.