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Finding the Fourth Proportional to 654.42, 979.71 and 422.97

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Solution

The fourth proportional to 654.42, 979.71 and 422.97 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 979.71 = 422.97 : x
  2. Step 2: Convert to fraction form
    654.42/979.71 = 422.97/x
  3. Step 3: Cross multiply
    654.42x = 979.71 × 422.97
  4. Step 4: Simplify right side
    654.42x = 414,387.94
  5. Step 5: Solve for x
    x = 414,387.94/654.42
  6. Step 6: Final answer
    x = 633.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.