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Finding the Fourth Proportional to 421.26, 581.39 and 255.48

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Solution

The fourth proportional to 421.26, 581.39 and 255.48 is: 352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.26 : 581.39 = 255.48 : x
  2. Step 2: Convert to fraction form
    421.26/581.39 = 255.48/x
  3. Step 3: Cross multiply
    421.26x = 581.39 × 255.48
  4. Step 4: Simplify right side
    421.26x = 148,533.52
  5. Step 5: Solve for x
    x = 148,533.52/421.26
  6. Step 6: Final answer
    x = 352.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.