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Finding the Fourth Proportional to 516.57, 775.46 and 361.86

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Solution

The fourth proportional to 516.57, 775.46 and 361.86 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 775.46 = 361.86 : x
  2. Step 2: Convert to fraction form
    516.57/775.46 = 361.86/x
  3. Step 3: Cross multiply
    516.57x = 775.46 × 361.86
  4. Step 4: Simplify right side
    516.57x = 280,607.96
  5. Step 5: Solve for x
    x = 280,607.96/516.57
  6. Step 6: Final answer
    x = 543.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.