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Finding the Fourth Proportional to 516.86, 775.50 and 243.08

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Solution

The fourth proportional to 516.86, 775.50 and 243.08 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 775.50 = 243.08 : x
  2. Step 2: Convert to fraction form
    516.86/775.50 = 243.08/x
  3. Step 3: Cross multiply
    516.86x = 775.50 × 243.08
  4. Step 4: Simplify right side
    516.86x = 188,508.54
  5. Step 5: Solve for x
    x = 188,508.54/516.86
  6. Step 6: Final answer
    x = 364.72

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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.