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Finding the Fourth Proportional to 591.48, 819.69 and 579.96

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Solution

The fourth proportional to 591.48, 819.69 and 579.96 is: 803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.48 : 819.69 = 579.96 : x
  2. Step 2: Convert to fraction form
    591.48/819.69 = 579.96/x
  3. Step 3: Cross multiply
    591.48x = 819.69 × 579.96
  4. Step 4: Simplify right side
    591.48x = 475,387.41
  5. Step 5: Solve for x
    x = 475,387.41/591.48
  6. Step 6: Final answer
    x = 803.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.