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Finding the Fourth Proportional to 572.26, 789.92 and 362.80

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Solution

The fourth proportional to 572.26, 789.92 and 362.80 is: 500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.26 : 789.92 = 362.80 : x
  2. Step 2: Convert to fraction form
    572.26/789.92 = 362.80/x
  3. Step 3: Cross multiply
    572.26x = 789.92 × 362.80
  4. Step 4: Simplify right side
    572.26x = 286,582.98
  5. Step 5: Solve for x
    x = 286,582.98/572.26
  6. Step 6: Final answer
    x = 500.79

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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.