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Finding the Fourth Proportional to 519.39, 778.55 and 211.46

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Solution

The fourth proportional to 519.39, 778.55 and 211.46 is: 316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.39 : 778.55 = 211.46 : x
  2. Step 2: Convert to fraction form
    519.39/778.55 = 211.46/x
  3. Step 3: Cross multiply
    519.39x = 778.55 × 211.46
  4. Step 4: Simplify right side
    519.39x = 164,627.23
  5. Step 5: Solve for x
    x = 164,627.23/519.39
  6. Step 6: Final answer
    x = 316.96

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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.