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Finding the Fourth Proportional to 580.75, 871.32 and 234.07

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Solution

The fourth proportional to 580.75, 871.32 and 234.07 is: 351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.75 : 871.32 = 234.07 : x
  2. Step 2: Convert to fraction form
    580.75/871.32 = 234.07/x
  3. Step 3: Cross multiply
    580.75x = 871.32 × 234.07
  4. Step 4: Simplify right side
    580.75x = 203,949.87
  5. Step 5: Solve for x
    x = 203,949.87/580.75
  6. Step 6: Final answer
    x = 351.18

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Why These Related Problems?

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