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Finding the Fourth Proportional to 495.96, 684.09 and 327.84

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Solution

The fourth proportional to 495.96, 684.09 and 327.84 is: 452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.96 : 684.09 = 327.84 : x
  2. Step 2: Convert to fraction form
    495.96/684.09 = 327.84/x
  3. Step 3: Cross multiply
    495.96x = 684.09 × 327.84
  4. Step 4: Simplify right side
    495.96x = 224,272.07
  5. Step 5: Solve for x
    x = 224,272.07/495.96
  6. Step 6: Final answer
    x = 452.20

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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.