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Finding the Fourth Proportional to 516.76, 775.14 and 243.04

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Solution

The fourth proportional to 516.76, 775.14 and 243.04 is: 364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 775.14 = 243.04 : x
  2. Step 2: Convert to fraction form
    516.76/775.14 = 243.04/x
  3. Step 3: Cross multiply
    516.76x = 775.14 × 243.04
  4. Step 4: Simplify right side
    516.76x = 188,390.03
  5. Step 5: Solve for x
    x = 188,390.03/516.76
  6. Step 6: Final answer
    x = 364.56

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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.