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Finding the Fourth Proportional to 596.91, 894.75 and 231.60

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Solution

The fourth proportional to 596.91, 894.75 and 231.60 is: 347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.91 : 894.75 = 231.60 : x
  2. Step 2: Convert to fraction form
    596.91/894.75 = 231.60/x
  3. Step 3: Cross multiply
    596.91x = 894.75 × 231.60
  4. Step 4: Simplify right side
    596.91x = 207,224.10
  5. Step 5: Solve for x
    x = 207,224.10/596.91
  6. Step 6: Final answer
    x = 347.16

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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.