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Finding the Fourth Proportional to 490.25, 736.29 and 284.92

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Solution

The fourth proportional to 490.25, 736.29 and 284.92 is: 427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 736.29 = 284.92 : x
  2. Step 2: Convert to fraction form
    490.25/736.29 = 284.92/x
  3. Step 3: Cross multiply
    490.25x = 736.29 × 284.92
  4. Step 4: Simplify right side
    490.25x = 209,781.91
  5. Step 5: Solve for x
    x = 209,781.91/490.25
  6. Step 6: Final answer
    x = 427.91

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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.