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Finding the Fourth Proportional to 327.48, 491.76 and 311.04

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Solution

The fourth proportional to 327.48, 491.76 and 311.04 is: 467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 491.76 = 311.04 : x
  2. Step 2: Convert to fraction form
    327.48/491.76 = 311.04/x
  3. Step 3: Cross multiply
    327.48x = 491.76 × 311.04
  4. Step 4: Simplify right side
    327.48x = 152,957.03
  5. Step 5: Solve for x
    x = 152,957.03/327.48
  6. Step 6: Final answer
    x = 467.07

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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.