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Finding the Fourth Proportional to 579.77, 800 and 331.06

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Solution

The fourth proportional to 579.77, 800 and 331.06 is: 456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.77 : 800 = 331.06 : x
  2. Step 2: Convert to fraction form
    579.77/800 = 331.06/x
  3. Step 3: Cross multiply
    579.77x = 800 × 331.06
  4. Step 4: Simplify right side
    579.77x = 264,848
  5. Step 5: Solve for x
    x = 264,848/579.77
  6. Step 6: Final answer
    x = 456.82

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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.