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Finding the Fourth Proportional to 516.97, 775.12 and 294.61

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Solution

The fourth proportional to 516.97, 775.12 and 294.61 is: 441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.97 : 775.12 = 294.61 : x
  2. Step 2: Convert to fraction form
    516.97/775.12 = 294.61/x
  3. Step 3: Cross multiply
    516.97x = 775.12 × 294.61
  4. Step 4: Simplify right side
    516.97x = 228,354.69
  5. Step 5: Solve for x
    x = 228,354.69/516.97
  6. Step 6: Final answer
    x = 441.72

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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.