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Finding the Fourth Proportional to 490.06, 735.23 and 436.33

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Solution

The fourth proportional to 490.06, 735.23 and 436.33 is: 654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.06 : 735.23 = 436.33 : x
  2. Step 2: Convert to fraction form
    490.06/735.23 = 436.33/x
  3. Step 3: Cross multiply
    490.06x = 735.23 × 436.33
  4. Step 4: Simplify right side
    490.06x = 320,802.46
  5. Step 5: Solve for x
    x = 320,802.46/490.06
  6. Step 6: Final answer
    x = 654.62

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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.