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Finding the Fourth Proportional to 273.70, 411.24 and 257.30

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Solution

The fourth proportional to 273.70, 411.24 and 257.30 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 411.24 = 257.30 : x
  2. Step 2: Convert to fraction form
    273.70/411.24 = 257.30/x
  3. Step 3: Cross multiply
    273.70x = 411.24 × 257.30
  4. Step 4: Simplify right side
    273.70x = 105,812.05
  5. Step 5: Solve for x
    x = 105,812.05/273.70
  6. Step 6: Final answer
    x = 386.60

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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.