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Finding the Fourth Proportional to 580.86, 871.02 and 337.46

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Solution

The fourth proportional to 580.86, 871.02 and 337.46 is: 506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.86 : 871.02 = 337.46 : x
  2. Step 2: Convert to fraction form
    580.86/871.02 = 337.46/x
  3. Step 3: Cross multiply
    580.86x = 871.02 × 337.46
  4. Step 4: Simplify right side
    580.86x = 293,930.05
  5. Step 5: Solve for x
    x = 293,930.05/580.86
  6. Step 6: Final answer
    x = 506.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.