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Finding the Fourth Proportional to 490.71, 736.37 and 285.68

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Solution

The fourth proportional to 490.71, 736.37 and 285.68 is: 428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.71 : 736.37 = 285.68 : x
  2. Step 2: Convert to fraction form
    490.71/736.37 = 285.68/x
  3. Step 3: Cross multiply
    490.71x = 736.37 × 285.68
  4. Step 4: Simplify right side
    490.71x = 210,362.72
  5. Step 5: Solve for x
    x = 210,362.72/490.71
  6. Step 6: Final answer
    x = 428.69

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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.