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Finding the Fourth Proportional to 516.85, 775.14 and 242.80

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Solution

The fourth proportional to 516.85, 775.14 and 242.80 is: 364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.85 : 775.14 = 242.80 : x
  2. Step 2: Convert to fraction form
    516.85/775.14 = 242.80/x
  3. Step 3: Cross multiply
    516.85x = 775.14 × 242.80
  4. Step 4: Simplify right side
    516.85x = 188,203.99
  5. Step 5: Solve for x
    x = 188,203.99/516.85
  6. Step 6: Final answer
    x = 364.14

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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.