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Finding the Fourth Proportional to 580.22, 800.54 and 331.45

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Solution

The fourth proportional to 580.22, 800.54 and 331.45 is: 457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.22 : 800.54 = 331.45 : x
  2. Step 2: Convert to fraction form
    580.22/800.54 = 331.45/x
  3. Step 3: Cross multiply
    580.22x = 800.54 × 331.45
  4. Step 4: Simplify right side
    580.22x = 265,338.98
  5. Step 5: Solve for x
    x = 265,338.98/580.22
  6. Step 6: Final answer
    x = 457.31

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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.