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Finding the Fourth Proportional to 300.80, 415.55 and 285.41

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Solution

The fourth proportional to 300.80, 415.55 and 285.41 is: 394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 415.55 = 285.41 : x
  2. Step 2: Convert to fraction form
    300.80/415.55 = 285.41/x
  3. Step 3: Cross multiply
    300.80x = 415.55 × 285.41
  4. Step 4: Simplify right side
    300.80x = 118,603.88
  5. Step 5: Solve for x
    x = 118,603.88/300.80
  6. Step 6: Final answer
    x = 394.29

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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.