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Finding the Fourth Proportional to 399.83, 599.19 and 216.83

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Solution

The fourth proportional to 399.83, 599.19 and 216.83 is: 324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.83 : 599.19 = 216.83 : x
  2. Step 2: Convert to fraction form
    399.83/599.19 = 216.83/x
  3. Step 3: Cross multiply
    399.83x = 599.19 × 216.83
  4. Step 4: Simplify right side
    399.83x = 129,922.37
  5. Step 5: Solve for x
    x = 129,922.37/399.83
  6. Step 6: Final answer
    x = 324.94

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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.