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Finding the Fourth Proportional to 463.20, 636.36 and 375.60

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Solution

The fourth proportional to 463.20, 636.36 and 375.60 is: 516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 636.36 = 375.60 : x
  2. Step 2: Convert to fraction form
    463.20/636.36 = 375.60/x
  3. Step 3: Cross multiply
    463.20x = 636.36 × 375.60
  4. Step 4: Simplify right side
    463.20x = 239,016.82
  5. Step 5: Solve for x
    x = 239,016.82/463.20
  6. Step 6: Final answer
    x = 516.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.