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Finding the Fourth Proportional to 519.39, 779.24 and 223.01

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Solution

The fourth proportional to 519.39, 779.24 and 223.01 is: 334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.39 : 779.24 = 223.01 : x
  2. Step 2: Convert to fraction form
    519.39/779.24 = 223.01/x
  3. Step 3: Cross multiply
    519.39x = 779.24 × 223.01
  4. Step 4: Simplify right side
    519.39x = 173,777.06
  5. Step 5: Solve for x
    x = 173,777.06/519.39
  6. Step 6: Final answer
    x = 334.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.