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Finding the Fourth Proportional to 519.81, 779.75 and 211.66

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Solution

The fourth proportional to 519.81, 779.75 and 211.66 is: 317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.81 : 779.75 = 211.66 : x
  2. Step 2: Convert to fraction form
    519.81/779.75 = 211.66/x
  3. Step 3: Cross multiply
    519.81x = 779.75 × 211.66
  4. Step 4: Simplify right side
    519.81x = 165,041.89
  5. Step 5: Solve for x
    x = 165,041.89/519.81
  6. Step 6: Final answer
    x = 317.50

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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.