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Finding the Fourth Proportional to 599.24, 819.34 and 576.56

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Solution

The fourth proportional to 599.24, 819.34 and 576.56 is: 788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.24 : 819.34 = 576.56 : x
  2. Step 2: Convert to fraction form
    599.24/819.34 = 576.56/x
  3. Step 3: Cross multiply
    599.24x = 819.34 × 576.56
  4. Step 4: Simplify right side
    599.24x = 472,398.67
  5. Step 5: Solve for x
    x = 472,398.67/599.24
  6. Step 6: Final answer
    x = 788.33

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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.