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Finding the Fourth Proportional to 338.66, 506.73 and 241.39

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Solution

The fourth proportional to 338.66, 506.73 and 241.39 is: 361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.66 : 506.73 = 241.39 : x
  2. Step 2: Convert to fraction form
    338.66/506.73 = 241.39/x
  3. Step 3: Cross multiply
    338.66x = 506.73 × 241.39
  4. Step 4: Simplify right side
    338.66x = 122,315.81
  5. Step 5: Solve for x
    x = 122,315.81/338.66
  6. Step 6: Final answer
    x = 361.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.