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Finding the Fourth Proportional to 272.73, 406.92 and 260.73

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Solution

The fourth proportional to 272.73, 406.92 and 260.73 is: 389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.73 : 406.92 = 260.73 : x
  2. Step 2: Convert to fraction form
    272.73/406.92 = 260.73/x
  3. Step 3: Cross multiply
    272.73x = 406.92 × 260.73
  4. Step 4: Simplify right side
    272.73x = 106,096.25
  5. Step 5: Solve for x
    x = 106,096.25/272.73
  6. Step 6: Final answer
    x = 389.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.