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Finding the Fourth Proportional to 327.02, 491.90 and 324.27

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Solution

The fourth proportional to 327.02, 491.90 and 324.27 is: 487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.02 : 491.90 = 324.27 : x
  2. Step 2: Convert to fraction form
    327.02/491.90 = 324.27/x
  3. Step 3: Cross multiply
    327.02x = 491.90 × 324.27
  4. Step 4: Simplify right side
    327.02x = 159,506.79
  5. Step 5: Solve for x
    x = 159,506.79/327.02
  6. Step 6: Final answer
    x = 487.77

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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.