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Finding the Fourth Proportional to 596.26, 894.12 and 230.77

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Solution

The fourth proportional to 596.26, 894.12 and 230.77 is: 346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 894.12 = 230.77 : x
  2. Step 2: Convert to fraction form
    596.26/894.12 = 230.77/x
  3. Step 3: Cross multiply
    596.26x = 894.12 × 230.77
  4. Step 4: Simplify right side
    596.26x = 206,336.07
  5. Step 5: Solve for x
    x = 206,336.07/596.26
  6. Step 6: Final answer
    x = 346.05

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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.