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Finding the Fourth Proportional to 580.45, 800.82 and 331.59

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Solution

The fourth proportional to 580.45, 800.82 and 331.59 is: 457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.45 : 800.82 = 331.59 : x
  2. Step 2: Convert to fraction form
    580.45/800.82 = 331.59/x
  3. Step 3: Cross multiply
    580.45x = 800.82 × 331.59
  4. Step 4: Simplify right side
    580.45x = 265,543.90
  5. Step 5: Solve for x
    x = 265,543.90/580.45
  6. Step 6: Final answer
    x = 457.48

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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.