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Finding the Fourth Proportional to 324.75, 448.16 and 208.38

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Solution

The fourth proportional to 324.75, 448.16 and 208.38 is: 287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.75 : 448.16 = 208.38 : x
  2. Step 2: Convert to fraction form
    324.75/448.16 = 208.38/x
  3. Step 3: Cross multiply
    324.75x = 448.16 × 208.38
  4. Step 4: Simplify right side
    324.75x = 93,387.58
  5. Step 5: Solve for x
    x = 93,387.58/324.75
  6. Step 6: Final answer
    x = 287.57

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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.