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Finding the Fourth Proportional to 365.52, 547.36 and 273.12

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Solution

The fourth proportional to 365.52, 547.36 and 273.12 is: 408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.52 : 547.36 = 273.12 : x
  2. Step 2: Convert to fraction form
    365.52/547.36 = 273.12/x
  3. Step 3: Cross multiply
    365.52x = 547.36 × 273.12
  4. Step 4: Simplify right side
    365.52x = 149,494.96
  5. Step 5: Solve for x
    x = 149,494.96/365.52
  6. Step 6: Final answer
    x = 408.99

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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.