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Finding the Fourth Proportional to 808.05, 1,211.96 and 345.82

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Solution

The fourth proportional to 808.05, 1,211.96 and 345.82 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.05 : 1,211.96 = 345.82 : x
  2. Step 2: Convert to fraction form
    808.05/1,211.96 = 345.82/x
  3. Step 3: Cross multiply
    808.05x = 1,211.96 × 345.82
  4. Step 4: Simplify right side
    808.05x = 419,120.11
  5. Step 5: Solve for x
    x = 419,120.11/808.05
  6. Step 6: Final answer
    x = 518.68

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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.