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Finding the Fourth Proportional to 490.30, 734.49 and 284.74

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Solution

The fourth proportional to 490.30, 734.49 and 284.74 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.30 : 734.49 = 284.74 : x
  2. Step 2: Convert to fraction form
    490.30/734.49 = 284.74/x
  3. Step 3: Cross multiply
    490.30x = 734.49 × 284.74
  4. Step 4: Simplify right side
    490.30x = 209,138.68
  5. Step 5: Solve for x
    x = 209,138.68/490.30
  6. Step 6: Final answer
    x = 426.55

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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.