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Finding the Fourth Proportional to 431.44, 594.76 and 327.76

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Solution

The fourth proportional to 431.44, 594.76 and 327.76 is: 451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 594.76 = 327.76 : x
  2. Step 2: Convert to fraction form
    431.44/594.76 = 327.76/x
  3. Step 3: Cross multiply
    431.44x = 594.76 × 327.76
  4. Step 4: Simplify right side
    431.44x = 194,938.54
  5. Step 5: Solve for x
    x = 194,938.54/431.44
  6. Step 6: Final answer
    x = 451.83

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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.