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Finding the Fourth Proportional to 476.97, 658.04 and 269.97

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Solution

The fourth proportional to 476.97, 658.04 and 269.97 is: 372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.97 : 658.04 = 269.97 : x
  2. Step 2: Convert to fraction form
    476.97/658.04 = 269.97/x
  3. Step 3: Cross multiply
    476.97x = 658.04 × 269.97
  4. Step 4: Simplify right side
    476.97x = 177,651.06
  5. Step 5: Solve for x
    x = 177,651.06/476.97
  6. Step 6: Final answer
    x = 372.46

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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.