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Finding the Fourth Proportional to 365.78, 547.49 and 279.45

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Solution

The fourth proportional to 365.78, 547.49 and 279.45 is: 418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.78 : 547.49 = 279.45 : x
  2. Step 2: Convert to fraction form
    365.78/547.49 = 279.45/x
  3. Step 3: Cross multiply
    365.78x = 547.49 × 279.45
  4. Step 4: Simplify right side
    365.78x = 152,996.78
  5. Step 5: Solve for x
    x = 152,996.78/365.78
  6. Step 6: Final answer
    x = 418.27

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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.