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Finding the Fourth Proportional to 359.04, 494.04 and 327.96

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Solution

The fourth proportional to 359.04, 494.04 and 327.96 is: 451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.04 : 494.04 = 327.96 : x
  2. Step 2: Convert to fraction form
    359.04/494.04 = 327.96/x
  3. Step 3: Cross multiply
    359.04x = 494.04 × 327.96
  4. Step 4: Simplify right side
    359.04x = 162,025.36
  5. Step 5: Solve for x
    x = 162,025.36/359.04
  6. Step 6: Final answer
    x = 451.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.