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Finding the Fourth Proportional to 399.67, 599.10 and 338.11

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Solution

The fourth proportional to 399.67, 599.10 and 338.11 is: 506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 599.10 = 338.11 : x
  2. Step 2: Convert to fraction form
    399.67/599.10 = 338.11/x
  3. Step 3: Cross multiply
    399.67x = 599.10 × 338.11
  4. Step 4: Simplify right side
    399.67x = 202,561.70
  5. Step 5: Solve for x
    x = 202,561.70/399.67
  6. Step 6: Final answer
    x = 506.82

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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.