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Finding the Fourth Proportional to 519.31, 777.30 and 334.33

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Solution

The fourth proportional to 519.31, 777.30 and 334.33 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.31 : 777.30 = 334.33 : x
  2. Step 2: Convert to fraction form
    519.31/777.30 = 334.33/x
  3. Step 3: Cross multiply
    519.31x = 777.30 × 334.33
  4. Step 4: Simplify right side
    519.31x = 259,874.71
  5. Step 5: Solve for x
    x = 259,874.71/519.31
  6. Step 6: Final answer
    x = 500.42

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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.