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Finding the Fourth Proportional to 493.21, 680.02 and 399.61

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Solution

The fourth proportional to 493.21, 680.02 and 399.61 is: 550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.21 : 680.02 = 399.61 : x
  2. Step 2: Convert to fraction form
    493.21/680.02 = 399.61/x
  3. Step 3: Cross multiply
    493.21x = 680.02 × 399.61
  4. Step 4: Simplify right side
    493.21x = 271,742.79
  5. Step 5: Solve for x
    x = 271,742.79/493.21
  6. Step 6: Final answer
    x = 550.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.