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Finding the Fourth Proportional to 579.99, 800.38 and 344.10

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Solution

The fourth proportional to 579.99, 800.38 and 344.10 is: 474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.99 : 800.38 = 344.10 : x
  2. Step 2: Convert to fraction form
    579.99/800.38 = 344.10/x
  3. Step 3: Cross multiply
    579.99x = 800.38 × 344.10
  4. Step 4: Simplify right side
    579.99x = 275,405.90
  5. Step 5: Solve for x
    x = 275,405.90/579.99
  6. Step 6: Final answer
    x = 474.85

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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.