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Finding the Fourth Proportional to 324.56, 448.30 and 245.78

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Solution

The fourth proportional to 324.56, 448.30 and 245.78 is: 339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.56 : 448.30 = 245.78 : x
  2. Step 2: Convert to fraction form
    324.56/448.30 = 245.78/x
  3. Step 3: Cross multiply
    324.56x = 448.30 × 245.78
  4. Step 4: Simplify right side
    324.56x = 110,183.17
  5. Step 5: Solve for x
    x = 110,183.17/324.56
  6. Step 6: Final answer
    x = 339.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.