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Finding the Fourth Proportional to 483.99, 725.97 and 406.23

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Solution

The fourth proportional to 483.99, 725.97 and 406.23 is: 609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.99 : 725.97 = 406.23 : x
  2. Step 2: Convert to fraction form
    483.99/725.97 = 406.23/x
  3. Step 3: Cross multiply
    483.99x = 725.97 × 406.23
  4. Step 4: Simplify right side
    483.99x = 294,910.79
  5. Step 5: Solve for x
    x = 294,910.79/483.99
  6. Step 6: Final answer
    x = 609.33

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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.