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Finding the Fourth Proportional to 580.14, 800.49 and 331.41

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Solution

The fourth proportional to 580.14, 800.49 and 331.41 is: 457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 800.49 = 331.41 : x
  2. Step 2: Convert to fraction form
    580.14/800.49 = 331.41/x
  3. Step 3: Cross multiply
    580.14x = 800.49 × 331.41
  4. Step 4: Simplify right side
    580.14x = 265,290.39
  5. Step 5: Solve for x
    x = 265,290.39/580.14
  6. Step 6: Final answer
    x = 457.29

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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.