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Finding the Fourth Proportional to 519.65, 779.57 and 428.73

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Solution

The fourth proportional to 519.65, 779.57 and 428.73 is: 643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.65 : 779.57 = 428.73 : x
  2. Step 2: Convert to fraction form
    519.65/779.57 = 428.73/x
  3. Step 3: Cross multiply
    519.65x = 779.57 × 428.73
  4. Step 4: Simplify right side
    519.65x = 334,222.90
  5. Step 5: Solve for x
    x = 334,222.90/519.65
  6. Step 6: Final answer
    x = 643.18

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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.