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Finding the Fourth Proportional to 324.68, 447.18 and 289.52

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Solution

The fourth proportional to 324.68, 447.18 and 289.52 is: 398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.68 : 447.18 = 289.52 : x
  2. Step 2: Convert to fraction form
    324.68/447.18 = 289.52/x
  3. Step 3: Cross multiply
    324.68x = 447.18 × 289.52
  4. Step 4: Simplify right side
    324.68x = 129,467.55
  5. Step 5: Solve for x
    x = 129,467.55/324.68
  6. Step 6: Final answer
    x = 398.75

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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.