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Finding the Fourth Proportional to 281.36, 419.74 and 273.52

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Solution

The fourth proportional to 281.36, 419.74 and 273.52 is: 408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.36 : 419.74 = 273.52 : x
  2. Step 2: Convert to fraction form
    281.36/419.74 = 273.52/x
  3. Step 3: Cross multiply
    281.36x = 419.74 × 273.52
  4. Step 4: Simplify right side
    281.36x = 114,807.28
  5. Step 5: Solve for x
    x = 114,807.28/281.36
  6. Step 6: Final answer
    x = 408.04

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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.