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Finding the Fourth Proportional to 580.96, 871.92 and 418.72

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Solution

The fourth proportional to 580.96, 871.92 and 418.72 is: 628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.96 : 871.92 = 418.72 : x
  2. Step 2: Convert to fraction form
    580.96/871.92 = 418.72/x
  3. Step 3: Cross multiply
    580.96x = 871.92 × 418.72
  4. Step 4: Simplify right side
    580.96x = 365,090.34
  5. Step 5: Solve for x
    x = 365,090.34/580.96
  6. Step 6: Final answer
    x = 628.43

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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.