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Finding the Fourth Proportional to 396.60, 546.83 and 303.06

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Solution

The fourth proportional to 396.60, 546.83 and 303.06 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.60 : 546.83 = 303.06 : x
  2. Step 2: Convert to fraction form
    396.60/546.83 = 303.06/x
  3. Step 3: Cross multiply
    396.60x = 546.83 × 303.06
  4. Step 4: Simplify right side
    396.60x = 165,722.30
  5. Step 5: Solve for x
    x = 165,722.30/396.60
  6. Step 6: Final answer
    x = 417.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.