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Finding the Fourth Proportional to 396.58, 594.96 and 122.70

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Solution

The fourth proportional to 396.58, 594.96 and 122.70 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.58 : 594.96 = 122.70 : x
  2. Step 2: Convert to fraction form
    396.58/594.96 = 122.70/x
  3. Step 3: Cross multiply
    396.58x = 594.96 × 122.70
  4. Step 4: Simplify right side
    396.58x = 73,001.59
  5. Step 5: Solve for x
    x = 73,001.59/396.58
  6. Step 6: Final answer
    x = 184.08

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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.