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Finding the Fourth Proportional to 516.48, 773.04 and 361.68

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Solution

The fourth proportional to 516.48, 773.04 and 361.68 is: 541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.48 : 773.04 = 361.68 : x
  2. Step 2: Convert to fraction form
    516.48/773.04 = 361.68/x
  3. Step 3: Cross multiply
    516.48x = 773.04 × 361.68
  4. Step 4: Simplify right side
    516.48x = 279,593.11
  5. Step 5: Solve for x
    x = 279,593.11/516.48
  6. Step 6: Final answer
    x = 541.34

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Why These Related Problems?

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