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Finding the Fourth Proportional to 580.63, 871.31 and 426.18

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Solution

The fourth proportional to 580.63, 871.31 and 426.18 is: 639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.63 : 871.31 = 426.18 : x
  2. Step 2: Convert to fraction form
    580.63/871.31 = 426.18/x
  3. Step 3: Cross multiply
    580.63x = 871.31 × 426.18
  4. Step 4: Simplify right side
    580.63x = 371,334.90
  5. Step 5: Solve for x
    x = 371,334.90/580.63
  6. Step 6: Final answer
    x = 639.54

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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.