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Finding the Fourth Proportional to 519.80, 779.70 and 462.20

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Solution

The fourth proportional to 519.80, 779.70 and 462.20 is: 693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.80 : 779.70 = 462.20 : x
  2. Step 2: Convert to fraction form
    519.80/779.70 = 462.20/x
  3. Step 3: Cross multiply
    519.80x = 779.70 × 462.20
  4. Step 4: Simplify right side
    519.80x = 360,377.34
  5. Step 5: Solve for x
    x = 360,377.34/519.80
  6. Step 6: Final answer
    x = 693.30

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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.