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Finding the Fourth Proportional to 596.06, 894.06 and 230.82

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Solution

The fourth proportional to 596.06, 894.06 and 230.82 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.06 : 894.06 = 230.82 : x
  2. Step 2: Convert to fraction form
    596.06/894.06 = 230.82/x
  3. Step 3: Cross multiply
    596.06x = 894.06 × 230.82
  4. Step 4: Simplify right side
    596.06x = 206,371.77
  5. Step 5: Solve for x
    x = 206,371.77/596.06
  6. Step 6: Final answer
    x = 346.23

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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.