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Finding the Fourth Proportional to 494.09, 681.41 and 319.25

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Solution

The fourth proportional to 494.09, 681.41 and 319.25 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 681.41 = 319.25 : x
  2. Step 2: Convert to fraction form
    494.09/681.41 = 319.25/x
  3. Step 3: Cross multiply
    494.09x = 681.41 × 319.25
  4. Step 4: Simplify right side
    494.09x = 217,538.55
  5. Step 5: Solve for x
    x = 217,538.55/494.09
  6. Step 6: Final answer
    x = 440.28

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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.