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Finding the Fourth Proportional to 572.94, 791.22 and 489.56

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Solution

The fourth proportional to 572.94, 791.22 and 489.56 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.94 : 791.22 = 489.56 : x
  2. Step 2: Convert to fraction form
    572.94/791.22 = 489.56/x
  3. Step 3: Cross multiply
    572.94x = 791.22 × 489.56
  4. Step 4: Simplify right side
    572.94x = 387,349.66
  5. Step 5: Solve for x
    x = 387,349.66/572.94
  6. Step 6: Final answer
    x = 676.07

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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.