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Finding the Fourth Proportional to 526.75, 789.83 and 380.56

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Solution

The fourth proportional to 526.75, 789.83 and 380.56 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.75 : 789.83 = 380.56 : x
  2. Step 2: Convert to fraction form
    526.75/789.83 = 380.56/x
  3. Step 3: Cross multiply
    526.75x = 789.83 × 380.56
  4. Step 4: Simplify right side
    526.75x = 300,571.85
  5. Step 5: Solve for x
    x = 300,571.85/526.75
  6. Step 6: Final answer
    x = 570.62

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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.