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Finding the Fourth Proportional to 338.36, 467.21 and 264.55

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Solution

The fourth proportional to 338.36, 467.21 and 264.55 is: 365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.36 : 467.21 = 264.55 : x
  2. Step 2: Convert to fraction form
    338.36/467.21 = 264.55/x
  3. Step 3: Cross multiply
    338.36x = 467.21 × 264.55
  4. Step 4: Simplify right side
    338.36x = 123,600.41
  5. Step 5: Solve for x
    x = 123,600.41/338.36
  6. Step 6: Final answer
    x = 365.29

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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.