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Finding the Fourth Proportional to 601.20, 901.94 and 327.22

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Solution

The fourth proportional to 601.20, 901.94 and 327.22 is: 490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 901.94 = 327.22 : x
  2. Step 2: Convert to fraction form
    601.20/901.94 = 327.22/x
  3. Step 3: Cross multiply
    601.20x = 901.94 × 327.22
  4. Step 4: Simplify right side
    601.20x = 295,132.81
  5. Step 5: Solve for x
    x = 295,132.81/601.20
  6. Step 6: Final answer
    x = 490.91

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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.