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Finding the Fourth Proportional to 539.24, 804.25 and 490.28

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Solution

The fourth proportional to 539.24, 804.25 and 490.28 is: 731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 804.25 = 490.28 : x
  2. Step 2: Convert to fraction form
    539.24/804.25 = 490.28/x
  3. Step 3: Cross multiply
    539.24x = 804.25 × 490.28
  4. Step 4: Simplify right side
    539.24x = 394,307.69
  5. Step 5: Solve for x
    x = 394,307.69/539.24
  6. Step 6: Final answer
    x = 731.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.