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Finding the Fourth Proportional to 394.02, 593.72 and 327.04

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Solution

The fourth proportional to 394.02, 593.72 and 327.04 is: 492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.02 : 593.72 = 327.04 : x
  2. Step 2: Convert to fraction form
    394.02/593.72 = 327.04/x
  3. Step 3: Cross multiply
    394.02x = 593.72 × 327.04
  4. Step 4: Simplify right side
    394.02x = 194,170.19
  5. Step 5: Solve for x
    x = 194,170.19/394.02
  6. Step 6: Final answer
    x = 492.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.