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Finding the Fourth Proportional to 437.82, 604.85 and 327.10

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Solution

The fourth proportional to 437.82, 604.85 and 327.10 is: 451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.82 : 604.85 = 327.10 : x
  2. Step 2: Convert to fraction form
    437.82/604.85 = 327.10/x
  3. Step 3: Cross multiply
    437.82x = 604.85 × 327.10
  4. Step 4: Simplify right side
    437.82x = 197,846.44
  5. Step 5: Solve for x
    x = 197,846.44/437.82
  6. Step 6: Final answer
    x = 451.89

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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.