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Finding the Fourth Proportional to 808.39, 1,212.72 and 321.85

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Solution

The fourth proportional to 808.39, 1,212.72 and 321.85 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.39 : 1,212.72 = 321.85 : x
  2. Step 2: Convert to fraction form
    808.39/1,212.72 = 321.85/x
  3. Step 3: Cross multiply
    808.39x = 1,212.72 × 321.85
  4. Step 4: Simplify right side
    808.39x = 390,313.93
  5. Step 5: Solve for x
    x = 390,313.93/808.39
  6. Step 6: Final answer
    x = 482.83

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