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Finding the Fourth Proportional to 580.76, 871.24 and 398.51

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Solution

The fourth proportional to 580.76, 871.24 and 398.51 is: 597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.76 : 871.24 = 398.51 : x
  2. Step 2: Convert to fraction form
    580.76/871.24 = 398.51/x
  3. Step 3: Cross multiply
    580.76x = 871.24 × 398.51
  4. Step 4: Simplify right side
    580.76x = 347,197.85
  5. Step 5: Solve for x
    x = 347,197.85/580.76
  6. Step 6: Final answer
    x = 597.83

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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.