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Finding the Fourth Proportional to 273.90, 411.30 and 257.01

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Solution

The fourth proportional to 273.90, 411.30 and 257.01 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.90 : 411.30 = 257.01 : x
  2. Step 2: Convert to fraction form
    273.90/411.30 = 257.01/x
  3. Step 3: Cross multiply
    273.90x = 411.30 × 257.01
  4. Step 4: Simplify right side
    273.90x = 105,708.21
  5. Step 5: Solve for x
    x = 105,708.21/273.90
  6. Step 6: Final answer
    x = 385.94

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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.