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Finding the Fourth Proportional to 324.40, 447.94 and 259.20

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Solution

The fourth proportional to 324.40, 447.94 and 259.20 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.40 : 447.94 = 259.20 : x
  2. Step 2: Convert to fraction form
    324.40/447.94 = 259.20/x
  3. Step 3: Cross multiply
    324.40x = 447.94 × 259.20
  4. Step 4: Simplify right side
    324.40x = 116,106.05
  5. Step 5: Solve for x
    x = 116,106.05/324.40
  6. Step 6: Final answer
    x = 357.91

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