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Finding the Fourth Proportional to 494.29, 681.78 and 376.33

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Solution

The fourth proportional to 494.29, 681.78 and 376.33 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.29 : 681.78 = 376.33 : x
  2. Step 2: Convert to fraction form
    494.29/681.78 = 376.33/x
  3. Step 3: Cross multiply
    494.29x = 681.78 × 376.33
  4. Step 4: Simplify right side
    494.29x = 256,574.27
  5. Step 5: Solve for x
    x = 256,574.27/494.29
  6. Step 6: Final answer
    x = 519.08

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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.