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Finding the Fourth Proportional to 421.28, 581.32 and 234.73

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Solution

The fourth proportional to 421.28, 581.32 and 234.73 is: 323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.28 : 581.32 = 234.73 : x
  2. Step 2: Convert to fraction form
    421.28/581.32 = 234.73/x
  3. Step 3: Cross multiply
    421.28x = 581.32 × 234.73
  4. Step 4: Simplify right side
    421.28x = 136,453.24
  5. Step 5: Solve for x
    x = 136,453.24/421.28
  6. Step 6: Final answer
    x = 323.90

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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.