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Finding the Fourth Proportional to 361.04, 543.38 and 270.22

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Solution

The fourth proportional to 361.04, 543.38 and 270.22 is: 406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.04 : 543.38 = 270.22 : x
  2. Step 2: Convert to fraction form
    361.04/543.38 = 270.22/x
  3. Step 3: Cross multiply
    361.04x = 543.38 × 270.22
  4. Step 4: Simplify right side
    361.04x = 146,832.14
  5. Step 5: Solve for x
    x = 146,832.14/361.04
  6. Step 6: Final answer
    x = 406.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.