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Finding the Fourth Proportional to 580.44, 799.56 and 573.24

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Solution

The fourth proportional to 580.44, 799.56 and 573.24 is: 789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.44 : 799.56 = 573.24 : x
  2. Step 2: Convert to fraction form
    580.44/799.56 = 573.24/x
  3. Step 3: Cross multiply
    580.44x = 799.56 × 573.24
  4. Step 4: Simplify right side
    580.44x = 458,339.77
  5. Step 5: Solve for x
    x = 458,339.77/580.44
  6. Step 6: Final answer
    x = 789.64

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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.