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Finding the Fourth Proportional to 349.36, 480.99 and 305.67

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Solution

The fourth proportional to 349.36, 480.99 and 305.67 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.36 : 480.99 = 305.67 : x
  2. Step 2: Convert to fraction form
    349.36/480.99 = 305.67/x
  3. Step 3: Cross multiply
    349.36x = 480.99 × 305.67
  4. Step 4: Simplify right side
    349.36x = 147,025.44
  5. Step 5: Solve for x
    x = 147,025.44/349.36
  6. Step 6: Final answer
    x = 420.84

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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.