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Finding the Fourth Proportional to 490.30, 734.02 and 381.76

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Solution

The fourth proportional to 490.30, 734.02 and 381.76 is: 571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.30 : 734.02 = 381.76 : x
  2. Step 2: Convert to fraction form
    490.30/734.02 = 381.76/x
  3. Step 3: Cross multiply
    490.30x = 734.02 × 381.76
  4. Step 4: Simplify right side
    490.30x = 280,219.48
  5. Step 5: Solve for x
    x = 280,219.48/490.30
  6. Step 6: Final answer
    x = 571.53

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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.