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Finding the Fourth Proportional to 467.63, 645.08 and 327.69

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Solution

The fourth proportional to 467.63, 645.08 and 327.69 is: 452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.63 : 645.08 = 327.69 : x
  2. Step 2: Convert to fraction form
    467.63/645.08 = 327.69/x
  3. Step 3: Cross multiply
    467.63x = 645.08 × 327.69
  4. Step 4: Simplify right side
    467.63x = 211,384.63
  5. Step 5: Solve for x
    x = 211,384.63/467.63
  6. Step 6: Final answer
    x = 452.04

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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.