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Finding the Fourth Proportional to 273.88, 407.90 and 256.37

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Solution

The fourth proportional to 273.88, 407.90 and 256.37 is: 381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.88 : 407.90 = 256.37 : x
  2. Step 2: Convert to fraction form
    273.88/407.90 = 256.37/x
  3. Step 3: Cross multiply
    273.88x = 407.90 × 256.37
  4. Step 4: Simplify right side
    273.88x = 104,571.92
  5. Step 5: Solve for x
    x = 104,571.92/273.88
  6. Step 6: Final answer
    x = 381.81

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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.