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Finding the Fourth Proportional to 285.78, 394.83 and 272.15

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Solution

The fourth proportional to 285.78, 394.83 and 272.15 is: 375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 394.83 = 272.15 : x
  2. Step 2: Convert to fraction form
    285.78/394.83 = 272.15/x
  3. Step 3: Cross multiply
    285.78x = 394.83 × 272.15
  4. Step 4: Simplify right side
    285.78x = 107,451.01
  5. Step 5: Solve for x
    x = 107,451.01/285.78
  6. Step 6: Final answer
    x = 375.99

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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.