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Finding the Fourth Proportional to 490.51, 734.61 and 486.37

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Solution

The fourth proportional to 490.51, 734.61 and 486.37 is: 728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.51 : 734.61 = 486.37 : x
  2. Step 2: Convert to fraction form
    490.51/734.61 = 486.37/x
  3. Step 3: Cross multiply
    490.51x = 734.61 × 486.37
  4. Step 4: Simplify right side
    490.51x = 357,288.59
  5. Step 5: Solve for x
    x = 357,288.59/490.51
  6. Step 6: Final answer
    x = 728.41

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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.