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Finding the Fourth Proportional to 596.36, 894.68 and 231.18

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Solution

The fourth proportional to 596.36, 894.68 and 231.18 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.36 : 894.68 = 231.18 : x
  2. Step 2: Convert to fraction form
    596.36/894.68 = 231.18/x
  3. Step 3: Cross multiply
    596.36x = 894.68 × 231.18
  4. Step 4: Simplify right side
    596.36x = 206,832.12
  5. Step 5: Solve for x
    x = 206,832.12/596.36
  6. Step 6: Final answer
    x = 346.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.