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Finding the Fourth Proportional to 808.25, 1,212.56 and 321.30

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Solution

The fourth proportional to 808.25, 1,212.56 and 321.30 is: 482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.25 : 1,212.56 = 321.30 : x
  2. Step 2: Convert to fraction form
    808.25/1,212.56 = 321.30/x
  3. Step 3: Cross multiply
    808.25x = 1,212.56 × 321.30
  4. Step 4: Simplify right side
    808.25x = 389,593.92
  5. Step 5: Solve for x
    x = 389,593.92/808.25
  6. Step 6: Final answer
    x = 482.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.