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Finding the Fourth Proportional to 519.46, 777.97 and 416.85

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Solution

The fourth proportional to 519.46, 777.97 and 416.85 is: 624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 777.97 = 416.85 : x
  2. Step 2: Convert to fraction form
    519.46/777.97 = 416.85/x
  3. Step 3: Cross multiply
    519.46x = 777.97 × 416.85
  4. Step 4: Simplify right side
    519.46x = 324,296.79
  5. Step 5: Solve for x
    x = 324,296.79/519.46
  6. Step 6: Final answer
    x = 624.30

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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.