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Finding the Fourth Proportional to 580.20, 795.15 and 579.24

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Solution

The fourth proportional to 580.20, 795.15 and 579.24 is: 793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.20 : 795.15 = 579.24 : x
  2. Step 2: Convert to fraction form
    580.20/795.15 = 579.24/x
  3. Step 3: Cross multiply
    580.20x = 795.15 × 579.24
  4. Step 4: Simplify right side
    580.20x = 460,582.69
  5. Step 5: Solve for x
    x = 460,582.69/580.20
  6. Step 6: Final answer
    x = 793.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.