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Finding the Fourth Proportional to 338.67, 467.64 and 264.96

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Solution

The fourth proportional to 338.67, 467.64 and 264.96 is: 365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.67 : 467.64 = 264.96 : x
  2. Step 2: Convert to fraction form
    338.67/467.64 = 264.96/x
  3. Step 3: Cross multiply
    338.67x = 467.64 × 264.96
  4. Step 4: Simplify right side
    338.67x = 123,905.89
  5. Step 5: Solve for x
    x = 123,905.89/338.67
  6. Step 6: Final answer
    x = 365.86

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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.