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Finding the Fourth Proportional to 490.94, 678.06 and 381.74

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Solution

The fourth proportional to 490.94, 678.06 and 381.74 is: 527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.94 : 678.06 = 381.74 : x
  2. Step 2: Convert to fraction form
    490.94/678.06 = 381.74/x
  3. Step 3: Cross multiply
    490.94x = 678.06 × 381.74
  4. Step 4: Simplify right side
    490.94x = 258,842.62
  5. Step 5: Solve for x
    x = 258,842.62/490.94
  6. Step 6: Final answer
    x = 527.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.