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Finding the Fourth Proportional to 580.55, 801.22 and 331.91

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Solution

The fourth proportional to 580.55, 801.22 and 331.91 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.55 : 801.22 = 331.91 : x
  2. Step 2: Convert to fraction form
    580.55/801.22 = 331.91/x
  3. Step 3: Cross multiply
    580.55x = 801.22 × 331.91
  4. Step 4: Simplify right side
    580.55x = 265,928.09
  5. Step 5: Solve for x
    x = 265,928.09/580.55
  6. Step 6: Final answer
    x = 458.06

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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.