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Finding the Fourth Proportional to 365.56, 547.44 and 262.42

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Solution

The fourth proportional to 365.56, 547.44 and 262.42 is: 392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.56 : 547.44 = 262.42 : x
  2. Step 2: Convert to fraction form
    365.56/547.44 = 262.42/x
  3. Step 3: Cross multiply
    365.56x = 547.44 × 262.42
  4. Step 4: Simplify right side
    365.56x = 143,659.20
  5. Step 5: Solve for x
    x = 143,659.20/365.56
  6. Step 6: Final answer
    x = 392.98

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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.