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Finding the Fourth Proportional to 519.16, 777.84 and 230.44

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Solution

The fourth proportional to 519.16, 777.84 and 230.44 is: 345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.16 : 777.84 = 230.44 : x
  2. Step 2: Convert to fraction form
    519.16/777.84 = 230.44/x
  3. Step 3: Cross multiply
    519.16x = 777.84 × 230.44
  4. Step 4: Simplify right side
    519.16x = 179,245.45
  5. Step 5: Solve for x
    x = 179,245.45/519.16
  6. Step 6: Final answer
    x = 345.26

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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.