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Finding the Fourth Proportional to 490.77, 736.16 and 405.09

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Solution

The fourth proportional to 490.77, 736.16 and 405.09 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.77 : 736.16 = 405.09 : x
  2. Step 2: Convert to fraction form
    490.77/736.16 = 405.09/x
  3. Step 3: Cross multiply
    490.77x = 736.16 × 405.09
  4. Step 4: Simplify right side
    490.77x = 298,209.03
  5. Step 5: Solve for x
    x = 298,209.03/490.77
  6. Step 6: Final answer
    x = 607.64

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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.