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Finding the Fourth Proportional to 580.17, 800.49 and 331.50

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Solution

The fourth proportional to 580.17, 800.49 and 331.50 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.17 : 800.49 = 331.50 : x
  2. Step 2: Convert to fraction form
    580.17/800.49 = 331.50/x
  3. Step 3: Cross multiply
    580.17x = 800.49 × 331.50
  4. Step 4: Simplify right side
    580.17x = 265,362.44
  5. Step 5: Solve for x
    x = 265,362.44/580.17
  6. Step 6: Final answer
    x = 457.39

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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.