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Finding the Fourth Proportional to 324.42, 445.94 and 290.94

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Solution

The fourth proportional to 324.42, 445.94 and 290.94 is: 399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 445.94 = 290.94 : x
  2. Step 2: Convert to fraction form
    324.42/445.94 = 290.94/x
  3. Step 3: Cross multiply
    324.42x = 445.94 × 290.94
  4. Step 4: Simplify right side
    324.42x = 129,740.33
  5. Step 5: Solve for x
    x = 129,740.33/324.42
  6. Step 6: Final answer
    x = 399.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.