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Finding the Fourth Proportional to 579.75, 800.01 and 331.01

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Solution

The fourth proportional to 579.75, 800.01 and 331.01 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.75 : 800.01 = 331.01 : x
  2. Step 2: Convert to fraction form
    579.75/800.01 = 331.01/x
  3. Step 3: Cross multiply
    579.75x = 800.01 × 331.01
  4. Step 4: Simplify right side
    579.75x = 264,811.31
  5. Step 5: Solve for x
    x = 264,811.31/579.75
  6. Step 6: Final answer
    x = 456.77

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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.