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Finding the Fourth Proportional to 279.56, 418.77 and 245.36

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Solution

The fourth proportional to 279.56, 418.77 and 245.36 is: 367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.56 : 418.77 = 245.36 : x
  2. Step 2: Convert to fraction form
    279.56/418.77 = 245.36/x
  3. Step 3: Cross multiply
    279.56x = 418.77 × 245.36
  4. Step 4: Simplify right side
    279.56x = 102,747.31
  5. Step 5: Solve for x
    x = 102,747.31/279.56
  6. Step 6: Final answer
    x = 367.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.