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Finding the Fourth Proportional to 490.89, 736.77 and 285.18

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Solution

The fourth proportional to 490.89, 736.77 and 285.18 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.89 : 736.77 = 285.18 : x
  2. Step 2: Convert to fraction form
    490.89/736.77 = 285.18/x
  3. Step 3: Cross multiply
    490.89x = 736.77 × 285.18
  4. Step 4: Simplify right side
    490.89x = 210,112.07
  5. Step 5: Solve for x
    x = 210,112.07/490.89
  6. Step 6: Final answer
    x = 428.02

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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.