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Finding the Fourth Proportional to 717.45, 989.73 and 422.54

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Solution

The fourth proportional to 717.45, 989.73 and 422.54 is: 582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.45 : 989.73 = 422.54 : x
  2. Step 2: Convert to fraction form
    717.45/989.73 = 422.54/x
  3. Step 3: Cross multiply
    717.45x = 989.73 × 422.54
  4. Step 4: Simplify right side
    717.45x = 418,195.57
  5. Step 5: Solve for x
    x = 418,195.57/717.45
  6. Step 6: Final answer
    x = 582.89

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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.