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Finding the Fourth Proportional to 399.10, 599.02 and 397.64

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Solution

The fourth proportional to 399.10, 599.02 and 397.64 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.10 : 599.02 = 397.64 : x
  2. Step 2: Convert to fraction form
    399.10/599.02 = 397.64/x
  3. Step 3: Cross multiply
    399.10x = 599.02 × 397.64
  4. Step 4: Simplify right side
    399.10x = 238,194.31
  5. Step 5: Solve for x
    x = 238,194.31/399.10
  6. Step 6: Final answer
    x = 596.83

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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.