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Finding the Fourth Proportional to 580.01, 800.22 and 331.15

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Solution

The fourth proportional to 580.01, 800.22 and 331.15 is: 456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.01 : 800.22 = 331.15 : x
  2. Step 2: Convert to fraction form
    580.01/800.22 = 331.15/x
  3. Step 3: Cross multiply
    580.01x = 800.22 × 331.15
  4. Step 4: Simplify right side
    580.01x = 264,991.20
  5. Step 5: Solve for x
    x = 264,991.20/580.01
  6. Step 6: Final answer
    x = 456.87

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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.