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Finding the Fourth Proportional to 519.05, 778.32 and 210.65

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Solution

The fourth proportional to 519.05, 778.32 and 210.65 is: 315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 778.32 = 210.65 : x
  2. Step 2: Convert to fraction form
    519.05/778.32 = 210.65/x
  3. Step 3: Cross multiply
    519.05x = 778.32 × 210.65
  4. Step 4: Simplify right side
    519.05x = 163,949.22
  5. Step 5: Solve for x
    x = 163,949.22/519.05
  6. Step 6: Final answer
    x = 315.87

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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.