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Finding the Fourth Proportional to 580.69, 801.30 and 331.96

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Solution

The fourth proportional to 580.69, 801.30 and 331.96 is: 458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 801.30 = 331.96 : x
  2. Step 2: Convert to fraction form
    580.69/801.30 = 331.96/x
  3. Step 3: Cross multiply
    580.69x = 801.30 × 331.96
  4. Step 4: Simplify right side
    580.69x = 265,998.42
  5. Step 5: Solve for x
    x = 265,998.42/580.69
  6. Step 6: Final answer
    x = 458.08

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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.