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Finding the Fourth Proportional to 338.42, 466.95 and 254.47

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Solution

The fourth proportional to 338.42, 466.95 and 254.47 is: 351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.42 : 466.95 = 254.47 : x
  2. Step 2: Convert to fraction form
    338.42/466.95 = 254.47/x
  3. Step 3: Cross multiply
    338.42x = 466.95 × 254.47
  4. Step 4: Simplify right side
    338.42x = 118,824.66
  5. Step 5: Solve for x
    x = 118,824.66/338.42
  6. Step 6: Final answer
    x = 351.11

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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.