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Finding the Fourth Proportional to 369.80, 553.51 and 254.23

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Solution

The fourth proportional to 369.80, 553.51 and 254.23 is: 380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 553.51 = 254.23 : x
  2. Step 2: Convert to fraction form
    369.80/553.51 = 254.23/x
  3. Step 3: Cross multiply
    369.80x = 553.51 × 254.23
  4. Step 4: Simplify right side
    369.80x = 140,718.85
  5. Step 5: Solve for x
    x = 140,718.85/369.80
  6. Step 6: Final answer
    x = 380.53

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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.