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Finding the Fourth Proportional to 408.19, 563.29 and 221.67

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Solution

The fourth proportional to 408.19, 563.29 and 221.67 is: 305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.19 : 563.29 = 221.67 : x
  2. Step 2: Convert to fraction form
    408.19/563.29 = 221.67/x
  3. Step 3: Cross multiply
    408.19x = 563.29 × 221.67
  4. Step 4: Simplify right side
    408.19x = 124,865.19
  5. Step 5: Solve for x
    x = 124,865.19/408.19
  6. Step 6: Final answer
    x = 305.90

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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.