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Finding the Fourth Proportional to 519.14, 778.73 and 210.98

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Solution

The fourth proportional to 519.14, 778.73 and 210.98 is: 316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.14 : 778.73 = 210.98 : x
  2. Step 2: Convert to fraction form
    519.14/778.73 = 210.98/x
  3. Step 3: Cross multiply
    519.14x = 778.73 × 210.98
  4. Step 4: Simplify right side
    519.14x = 164,291.51
  5. Step 5: Solve for x
    x = 164,291.51/519.14
  6. Step 6: Final answer
    x = 316.47

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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.