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Finding the Fourth Proportional to 343.80, 475.20 and 327.60

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Solution

The fourth proportional to 343.80, 475.20 and 327.60 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 475.20 = 327.60 : x
  2. Step 2: Convert to fraction form
    343.80/475.20 = 327.60/x
  3. Step 3: Cross multiply
    343.80x = 475.20 × 327.60
  4. Step 4: Simplify right side
    343.80x = 155,675.52
  5. Step 5: Solve for x
    x = 155,675.52/343.80
  6. Step 6: Final answer
    x = 452.81

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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.