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Finding the Fourth Proportional to 399.85, 600.06 and 262.85

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Solution

The fourth proportional to 399.85, 600.06 and 262.85 is: 394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.85 : 600.06 = 262.85 : x
  2. Step 2: Convert to fraction form
    399.85/600.06 = 262.85/x
  3. Step 3: Cross multiply
    399.85x = 600.06 × 262.85
  4. Step 4: Simplify right side
    399.85x = 157,723.76
  5. Step 5: Solve for x
    x = 157,723.76/399.85
  6. Step 6: Final answer
    x = 394.46

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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.