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Finding the Fourth Proportional to 324.78, 448.34 and 246.10

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Solution

The fourth proportional to 324.78, 448.34 and 246.10 is: 339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.78 : 448.34 = 246.10 : x
  2. Step 2: Convert to fraction form
    324.78/448.34 = 246.10/x
  3. Step 3: Cross multiply
    324.78x = 448.34 × 246.10
  4. Step 4: Simplify right side
    324.78x = 110,336.47
  5. Step 5: Solve for x
    x = 110,336.47/324.78
  6. Step 6: Final answer
    x = 339.73

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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.