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Finding the Fourth Proportional to 490.81, 735.04 and 403.53

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Solution

The fourth proportional to 490.81, 735.04 and 403.53 is: 604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.81 : 735.04 = 403.53 : x
  2. Step 2: Convert to fraction form
    490.81/735.04 = 403.53/x
  3. Step 3: Cross multiply
    490.81x = 735.04 × 403.53
  4. Step 4: Simplify right side
    490.81x = 296,610.69
  5. Step 5: Solve for x
    x = 296,610.69/490.81
  6. Step 6: Final answer
    x = 604.33

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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.