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Finding the Fourth Proportional to 490.16, 734.57 and 270.46

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Solution

The fourth proportional to 490.16, 734.57 and 270.46 is: 405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 734.57 = 270.46 : x
  2. Step 2: Convert to fraction form
    490.16/734.57 = 270.46/x
  3. Step 3: Cross multiply
    490.16x = 734.57 × 270.46
  4. Step 4: Simplify right side
    490.16x = 198,668.13
  5. Step 5: Solve for x
    x = 198,668.13/490.16
  6. Step 6: Final answer
    x = 405.31

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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.