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Finding the Fourth Proportional to 324.88, 448.14 and 208.24

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Solution

The fourth proportional to 324.88, 448.14 and 208.24 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.88 : 448.14 = 208.24 : x
  2. Step 2: Convert to fraction form
    324.88/448.14 = 208.24/x
  3. Step 3: Cross multiply
    324.88x = 448.14 × 208.24
  4. Step 4: Simplify right side
    324.88x = 93,320.67
  5. Step 5: Solve for x
    x = 93,320.67/324.88
  6. Step 6: Final answer
    x = 287.25

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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.