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Finding the Fourth Proportional to 808.41, 1,213.08 and 397.67

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Solution

The fourth proportional to 808.41, 1,213.08 and 397.67 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.41 : 1,213.08 = 397.67 : x
  2. Step 2: Convert to fraction form
    808.41/1,213.08 = 397.67/x
  3. Step 3: Cross multiply
    808.41x = 1,213.08 × 397.67
  4. Step 4: Simplify right side
    808.41x = 482,399.46
  5. Step 5: Solve for x
    x = 482,399.46/808.41
  6. Step 6: Final answer
    x = 596.73

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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.