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Finding the Fourth Proportional to 380.70, 571.08 and 216.22

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Solution

The fourth proportional to 380.70, 571.08 and 216.22 is: 324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 571.08 = 216.22 : x
  2. Step 2: Convert to fraction form
    380.70/571.08 = 216.22/x
  3. Step 3: Cross multiply
    380.70x = 571.08 × 216.22
  4. Step 4: Simplify right side
    380.70x = 123,478.92
  5. Step 5: Solve for x
    x = 123,478.92/380.70
  6. Step 6: Final answer
    x = 324.35

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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.