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Finding the Fourth Proportional to 385.81, 578.32 and 221.22

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Solution

The fourth proportional to 385.81, 578.32 and 221.22 is: 331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.81 : 578.32 = 221.22 : x
  2. Step 2: Convert to fraction form
    385.81/578.32 = 221.22/x
  3. Step 3: Cross multiply
    385.81x = 578.32 × 221.22
  4. Step 4: Simplify right side
    385.81x = 127,935.95
  5. Step 5: Solve for x
    x = 127,935.95/385.81
  6. Step 6: Final answer
    x = 331.60

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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.