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Finding the Fourth Proportional to 338.51, 506.99 and 246.98

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Solution

The fourth proportional to 338.51, 506.99 and 246.98 is: 369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.51 : 506.99 = 246.98 : x
  2. Step 2: Convert to fraction form
    338.51/506.99 = 246.98/x
  3. Step 3: Cross multiply
    338.51x = 506.99 × 246.98
  4. Step 4: Simplify right side
    338.51x = 125,217.84
  5. Step 5: Solve for x
    x = 125,217.84/338.51
  6. Step 6: Final answer
    x = 369.90

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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.