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Finding the Fourth Proportional to 408.26, 561.78 and 377.28

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Solution

The fourth proportional to 408.26, 561.78 and 377.28 is: 519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.26 : 561.78 = 377.28 : x
  2. Step 2: Convert to fraction form
    408.26/561.78 = 377.28/x
  3. Step 3: Cross multiply
    408.26x = 561.78 × 377.28
  4. Step 4: Simplify right side
    408.26x = 211,948.36
  5. Step 5: Solve for x
    x = 211,948.36/408.26
  6. Step 6: Final answer
    x = 519.15

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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.