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Finding the Fourth Proportional to 399.35, 599.24 and 216.86

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Solution

The fourth proportional to 399.35, 599.24 and 216.86 is: 325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.35 : 599.24 = 216.86 : x
  2. Step 2: Convert to fraction form
    399.35/599.24 = 216.86/x
  3. Step 3: Cross multiply
    399.35x = 599.24 × 216.86
  4. Step 4: Simplify right side
    399.35x = 129,953.23
  5. Step 5: Solve for x
    x = 129,953.23/399.35
  6. Step 6: Final answer
    x = 325.42

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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.