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Finding the Fourth Proportional to 338.60, 467.74 and 261.96

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Solution

The fourth proportional to 338.60, 467.74 and 261.96 is: 361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.60 : 467.74 = 261.96 : x
  2. Step 2: Convert to fraction form
    338.60/467.74 = 261.96/x
  3. Step 3: Cross multiply
    338.60x = 467.74 × 261.96
  4. Step 4: Simplify right side
    338.60x = 122,529.17
  5. Step 5: Solve for x
    x = 122,529.17/338.60
  6. Step 6: Final answer
    x = 361.87

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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.