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Finding the Fourth Proportional to 596.30, 820.41 and 580.10

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Solution

The fourth proportional to 596.30, 820.41 and 580.10 is: 798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 820.41 = 580.10 : x
  2. Step 2: Convert to fraction form
    596.30/820.41 = 580.10/x
  3. Step 3: Cross multiply
    596.30x = 820.41 × 580.10
  4. Step 4: Simplify right side
    596.30x = 475,919.84
  5. Step 5: Solve for x
    x = 475,919.84/596.30
  6. Step 6: Final answer
    x = 798.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.