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Finding the Fourth Proportional to 403.25, 556.27 and 255.62

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Solution

The fourth proportional to 403.25, 556.27 and 255.62 is: 352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.25 : 556.27 = 255.62 : x
  2. Step 2: Convert to fraction form
    403.25/556.27 = 255.62/x
  3. Step 3: Cross multiply
    403.25x = 556.27 × 255.62
  4. Step 4: Simplify right side
    403.25x = 142,194.49
  5. Step 5: Solve for x
    x = 142,194.49/403.25
  6. Step 6: Final answer
    x = 352.63

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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.