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Finding the Fourth Proportional to 399.10, 598.02 and 216.64

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Solution

The fourth proportional to 399.10, 598.02 and 216.64 is: 324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.10 : 598.02 = 216.64 : x
  2. Step 2: Convert to fraction form
    399.10/598.02 = 216.64/x
  3. Step 3: Cross multiply
    399.10x = 598.02 × 216.64
  4. Step 4: Simplify right side
    399.10x = 129,555.05
  5. Step 5: Solve for x
    x = 129,555.05/399.10
  6. Step 6: Final answer
    x = 324.62

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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.