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Finding the Fourth Proportional to 516.49, 775.00 and 343.28

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Solution

The fourth proportional to 516.49, 775.00 and 343.28 is: 515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.49 : 775.00 = 343.28 : x
  2. Step 2: Convert to fraction form
    516.49/775.00 = 343.28/x
  3. Step 3: Cross multiply
    516.49x = 775.00 × 343.28
  4. Step 4: Simplify right side
    516.49x = 266,036.41
  5. Step 5: Solve for x
    x = 266,036.41/516.49
  6. Step 6: Final answer
    x = 515.09

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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.