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Finding the Fourth Proportional to 361.44, 497.28 and 273.60

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Solution

The fourth proportional to 361.44, 497.28 and 273.60 is: 376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.44 : 497.28 = 273.60 : x
  2. Step 2: Convert to fraction form
    361.44/497.28 = 273.60/x
  3. Step 3: Cross multiply
    361.44x = 497.28 × 273.60
  4. Step 4: Simplify right side
    361.44x = 136,055.81
  5. Step 5: Solve for x
    x = 136,055.81/361.44
  6. Step 6: Final answer
    x = 376.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.