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Finding the Fourth Proportional to 601.91, 902.10 and 327.42

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Solution

The fourth proportional to 601.91, 902.10 and 327.42 is: 490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.91 : 902.10 = 327.42 : x
  2. Step 2: Convert to fraction form
    601.91/902.10 = 327.42/x
  3. Step 3: Cross multiply
    601.91x = 902.10 × 327.42
  4. Step 4: Simplify right side
    601.91x = 295,365.58
  5. Step 5: Solve for x
    x = 295,365.58/601.91
  6. Step 6: Final answer
    x = 490.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.