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Finding the Fourth Proportional to 324.79, 447.99 and 208.30

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Solution

The fourth proportional to 324.79, 447.99 and 208.30 is: 287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.79 : 447.99 = 208.30 : x
  2. Step 2: Convert to fraction form
    324.79/447.99 = 208.30/x
  3. Step 3: Cross multiply
    324.79x = 447.99 × 208.30
  4. Step 4: Simplify right side
    324.79x = 93,316.32
  5. Step 5: Solve for x
    x = 93,316.32/324.79
  6. Step 6: Final answer
    x = 287.31

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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.