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Finding the Fourth Proportional to 307.96, 461.67 and 264.67

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Solution

The fourth proportional to 307.96, 461.67 and 264.67 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 461.67 = 264.67 : x
  2. Step 2: Convert to fraction form
    307.96/461.67 = 264.67/x
  3. Step 3: Cross multiply
    307.96x = 461.67 × 264.67
  4. Step 4: Simplify right side
    307.96x = 122,190.20
  5. Step 5: Solve for x
    x = 122,190.20/307.96
  6. Step 6: Final answer
    x = 396.77

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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.