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Finding the Fourth Proportional to 494.28, 681.80 and 297.75

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Solution

The fourth proportional to 494.28, 681.80 and 297.75 is: 410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.28 : 681.80 = 297.75 : x
  2. Step 2: Convert to fraction form
    494.28/681.80 = 297.75/x
  3. Step 3: Cross multiply
    494.28x = 681.80 × 297.75
  4. Step 4: Simplify right side
    494.28x = 203,006.69
  5. Step 5: Solve for x
    x = 203,006.69/494.28
  6. Step 6: Final answer
    x = 410.71

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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.