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Finding the Fourth Proportional to 324.40, 447.76 and 208.04

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Solution

The fourth proportional to 324.40, 447.76 and 208.04 is: 287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.40 : 447.76 = 208.04 : x
  2. Step 2: Convert to fraction form
    324.40/447.76 = 208.04/x
  3. Step 3: Cross multiply
    324.40x = 447.76 × 208.04
  4. Step 4: Simplify right side
    324.40x = 93,151.99
  5. Step 5: Solve for x
    x = 93,151.99/324.40
  6. Step 6: Final answer
    x = 287.15

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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.