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Finding the Fourth Proportional to 490.14, 738.83 and 461.93

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Solution

The fourth proportional to 490.14, 738.83 and 461.93 is: 696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.14 : 738.83 = 461.93 : x
  2. Step 2: Convert to fraction form
    490.14/738.83 = 461.93/x
  3. Step 3: Cross multiply
    490.14x = 738.83 × 461.93
  4. Step 4: Simplify right side
    490.14x = 341,281.74
  5. Step 5: Solve for x
    x = 341,281.74/490.14
  6. Step 6: Final answer
    x = 696.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.