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Finding the Fourth Proportional to 369.43, 509.50 and 221.95

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Solution

The fourth proportional to 369.43, 509.50 and 221.95 is: 306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.43 : 509.50 = 221.95 : x
  2. Step 2: Convert to fraction form
    369.43/509.50 = 221.95/x
  3. Step 3: Cross multiply
    369.43x = 509.50 × 221.95
  4. Step 4: Simplify right side
    369.43x = 113,084.44
  5. Step 5: Solve for x
    x = 113,084.44/369.43
  6. Step 6: Final answer
    x = 306.11

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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.