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Finding the Fourth Proportional to 338.88, 466.74 and 265.44

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Solution

The fourth proportional to 338.88, 466.74 and 265.44 is: 365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 466.74 = 265.44 : x
  2. Step 2: Convert to fraction form
    338.88/466.74 = 265.44/x
  3. Step 3: Cross multiply
    338.88x = 466.74 × 265.44
  4. Step 4: Simplify right side
    338.88x = 123,891.47
  5. Step 5: Solve for x
    x = 123,891.47/338.88
  6. Step 6: Final answer
    x = 365.59

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