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Finding the Fourth Proportional to 399.89, 596.69 and 397.62

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Solution

The fourth proportional to 399.89, 596.69 and 397.62 is: 593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.89 : 596.69 = 397.62 : x
  2. Step 2: Convert to fraction form
    399.89/596.69 = 397.62/x
  3. Step 3: Cross multiply
    399.89x = 596.69 × 397.62
  4. Step 4: Simplify right side
    399.89x = 237,255.88
  5. Step 5: Solve for x
    x = 237,255.88/399.89
  6. Step 6: Final answer
    x = 593.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.