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Finding the Fourth Proportional to 580.76, 871.34 and 494.75

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Solution

The fourth proportional to 580.76, 871.34 and 494.75 is: 742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.76 : 871.34 = 494.75 : x
  2. Step 2: Convert to fraction form
    580.76/871.34 = 494.75/x
  3. Step 3: Cross multiply
    580.76x = 871.34 × 494.75
  4. Step 4: Simplify right side
    580.76x = 431,091.11
  5. Step 5: Solve for x
    x = 431,091.11/580.76
  6. Step 6: Final answer
    x = 742.29

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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.