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Finding the Fourth Proportional to 382.20, 516.45 and 382.20

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Solution

The fourth proportional to 382.20, 516.45 and 382.20 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 516.45 = 382.20 : x
  2. Step 2: Convert to fraction form
    382.20/516.45 = 382.20/x
  3. Step 3: Cross multiply
    382.20x = 516.45 × 382.20
  4. Step 4: Simplify right side
    382.20x = 197,387.19
  5. Step 5: Solve for x
    x = 197,387.19/382.20
  6. Step 6: Final answer
    x = 516.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.