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Finding the Fourth Proportional to 324.65, 445.61 and 296.97

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Solution

The fourth proportional to 324.65, 445.61 and 296.97 is: 407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.65 : 445.61 = 296.97 : x
  2. Step 2: Convert to fraction form
    324.65/445.61 = 296.97/x
  3. Step 3: Cross multiply
    324.65x = 445.61 × 296.97
  4. Step 4: Simplify right side
    324.65x = 132,332.80
  5. Step 5: Solve for x
    x = 132,332.80/324.65
  6. Step 6: Final answer
    x = 407.62

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Why These Related Problems?

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