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Finding the Fourth Proportional to 808.57, 1,213.26 and 321.76

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Solution

The fourth proportional to 808.57, 1,213.26 and 321.76 is: 482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.57 : 1,213.26 = 321.76 : x
  2. Step 2: Convert to fraction form
    808.57/1,213.26 = 321.76/x
  3. Step 3: Cross multiply
    808.57x = 1,213.26 × 321.76
  4. Step 4: Simplify right side
    808.57x = 390,378.54
  5. Step 5: Solve for x
    x = 390,378.54/808.57
  6. Step 6: Final answer
    x = 482.80

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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.