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Finding the Fourth Proportional to 338.77, 467.94 and 251.83

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Solution

The fourth proportional to 338.77, 467.94 and 251.83 is: 347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.77 : 467.94 = 251.83 : x
  2. Step 2: Convert to fraction form
    338.77/467.94 = 251.83/x
  3. Step 3: Cross multiply
    338.77x = 467.94 × 251.83
  4. Step 4: Simplify right side
    338.77x = 117,841.33
  5. Step 5: Solve for x
    x = 117,841.33/338.77
  6. Step 6: Final answer
    x = 347.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.