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Finding the Fourth Proportional to 519.71, 778.29 and 336.57

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Solution

The fourth proportional to 519.71, 778.29 and 336.57 is: 504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.71 : 778.29 = 336.57 : x
  2. Step 2: Convert to fraction form
    519.71/778.29 = 336.57/x
  3. Step 3: Cross multiply
    519.71x = 778.29 × 336.57
  4. Step 4: Simplify right side
    519.71x = 261,949.07
  5. Step 5: Solve for x
    x = 261,949.07/519.71
  6. Step 6: Final answer
    x = 504.03

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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.