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Finding the Fourth Proportional to 572.29, 789.77 and 310.31

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Solution

The fourth proportional to 572.29, 789.77 and 310.31 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.29 : 789.77 = 310.31 : x
  2. Step 2: Convert to fraction form
    572.29/789.77 = 310.31/x
  3. Step 3: Cross multiply
    572.29x = 789.77 × 310.31
  4. Step 4: Simplify right side
    572.29x = 245,072.17
  5. Step 5: Solve for x
    x = 245,072.17/572.29
  6. Step 6: Final answer
    x = 428.23

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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.