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Finding the Fourth Proportional to 490.60, 734.46 and 284.68

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Solution

The fourth proportional to 490.60, 734.46 and 284.68 is: 426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 734.46 = 284.68 : x
  2. Step 2: Convert to fraction form
    490.60/734.46 = 284.68/x
  3. Step 3: Cross multiply
    490.60x = 734.46 × 284.68
  4. Step 4: Simplify right side
    490.60x = 209,086.07
  5. Step 5: Solve for x
    x = 209,086.07/490.60
  6. Step 6: Final answer
    x = 426.18

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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.