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Finding the Fourth Proportional to 579.99, 800.10 and 343.86

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Solution

The fourth proportional to 579.99, 800.10 and 343.86 is: 474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.99 : 800.10 = 343.86 : x
  2. Step 2: Convert to fraction form
    579.99/800.10 = 343.86/x
  3. Step 3: Cross multiply
    579.99x = 800.10 × 343.86
  4. Step 4: Simplify right side
    579.99x = 275,122.39
  5. Step 5: Solve for x
    x = 275,122.39/579.99
  6. Step 6: Final answer
    x = 474.36

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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.