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Finding the Fourth Proportional to 519.89, 780.02 and 211.70

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Solution

The fourth proportional to 519.89, 780.02 and 211.70 is: 317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.89 : 780.02 = 211.70 : x
  2. Step 2: Convert to fraction form
    519.89/780.02 = 211.70/x
  3. Step 3: Cross multiply
    519.89x = 780.02 × 211.70
  4. Step 4: Simplify right side
    519.89x = 165,131.92
  5. Step 5: Solve for x
    x = 165,131.92/519.89
  6. Step 6: Final answer
    x = 317.63

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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.