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Finding the Fourth Proportional to 399.79, 599.94 and 263.11

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Solution

The fourth proportional to 399.79, 599.94 and 263.11 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.79 : 599.94 = 263.11 : x
  2. Step 2: Convert to fraction form
    399.79/599.94 = 263.11/x
  3. Step 3: Cross multiply
    399.79x = 599.94 × 263.11
  4. Step 4: Simplify right side
    399.79x = 157,850.21
  5. Step 5: Solve for x
    x = 157,850.21/399.79
  6. Step 6: Final answer
    x = 394.83

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Why These Related Problems?

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