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Finding the Fourth Proportional to 519.05, 777.88 and 245.22

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Solution

The fourth proportional to 519.05, 777.88 and 245.22 is: 367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 777.88 = 245.22 : x
  2. Step 2: Convert to fraction form
    519.05/777.88 = 245.22/x
  3. Step 3: Cross multiply
    519.05x = 777.88 × 245.22
  4. Step 4: Simplify right side
    519.05x = 190,751.73
  5. Step 5: Solve for x
    x = 190,751.73/519.05
  6. Step 6: Final answer
    x = 367.50

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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.