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Finding the Fourth Proportional to 406.38, 559.40 and 350.78

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Solution

The fourth proportional to 406.38, 559.40 and 350.78 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.38 : 559.40 = 350.78 : x
  2. Step 2: Convert to fraction form
    406.38/559.40 = 350.78/x
  3. Step 3: Cross multiply
    406.38x = 559.40 × 350.78
  4. Step 4: Simplify right side
    406.38x = 196,226.33
  5. Step 5: Solve for x
    x = 196,226.33/406.38
  6. Step 6: Final answer
    x = 482.86

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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.