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Finding the Fourth Proportional to 406.50, 605.89 and 382.83

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Solution

The fourth proportional to 406.50, 605.89 and 382.83 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 605.89 = 382.83 : x
  2. Step 2: Convert to fraction form
    406.50/605.89 = 382.83/x
  3. Step 3: Cross multiply
    406.50x = 605.89 × 382.83
  4. Step 4: Simplify right side
    406.50x = 231,952.87
  5. Step 5: Solve for x
    x = 231,952.87/406.50
  6. Step 6: Final answer
    x = 570.61

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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.