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Finding the Fourth Proportional to 596.23, 894.96 and 452.86

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Solution

The fourth proportional to 596.23, 894.96 and 452.86 is: 679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.23 : 894.96 = 452.86 : x
  2. Step 2: Convert to fraction form
    596.23/894.96 = 452.86/x
  3. Step 3: Cross multiply
    596.23x = 894.96 × 452.86
  4. Step 4: Simplify right side
    596.23x = 405,289.35
  5. Step 5: Solve for x
    x = 405,289.35/596.23
  6. Step 6: Final answer
    x = 679.76

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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.