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Finding the Fourth Proportional to 365.70, 548.28 and 266.88

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Solution

The fourth proportional to 365.70, 548.28 and 266.88 is: 400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.70 : 548.28 = 266.88 : x
  2. Step 2: Convert to fraction form
    365.70/548.28 = 266.88/x
  3. Step 3: Cross multiply
    365.70x = 548.28 × 266.88
  4. Step 4: Simplify right side
    365.70x = 146,324.97
  5. Step 5: Solve for x
    x = 146,324.97/365.70
  6. Step 6: Final answer
    x = 400.12

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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.