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Finding the Fourth Proportional to 579.88, 800.64 and 404.92

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Solution

The fourth proportional to 579.88, 800.64 and 404.92 is: 559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.88 : 800.64 = 404.92 : x
  2. Step 2: Convert to fraction form
    579.88/800.64 = 404.92/x
  3. Step 3: Cross multiply
    579.88x = 800.64 × 404.92
  4. Step 4: Simplify right side
    579.88x = 324,189.12
  5. Step 5: Solve for x
    x = 324,189.12/579.88
  6. Step 6: Final answer
    x = 559.07

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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.