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Finding the Fourth Proportional to 572.26, 789.71 and 310.27

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Solution

The fourth proportional to 572.26, 789.71 and 310.27 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.26 : 789.71 = 310.27 : x
  2. Step 2: Convert to fraction form
    572.26/789.71 = 310.27/x
  3. Step 3: Cross multiply
    572.26x = 789.71 × 310.27
  4. Step 4: Simplify right side
    572.26x = 245,021.77
  5. Step 5: Solve for x
    x = 245,021.77/572.26
  6. Step 6: Final answer
    x = 428.17

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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.