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Finding the Fourth Proportional to 596.72, 894.76 and 231.24

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Solution

The fourth proportional to 596.72, 894.76 and 231.24 is: 346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 894.76 = 231.24 : x
  2. Step 2: Convert to fraction form
    596.72/894.76 = 231.24/x
  3. Step 3: Cross multiply
    596.72x = 894.76 × 231.24
  4. Step 4: Simplify right side
    596.72x = 206,904.30
  5. Step 5: Solve for x
    x = 206,904.30/596.72
  6. Step 6: Final answer
    x = 346.74

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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.