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Finding the Fourth Proportional to 596.10, 892.98 and 486.54

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Solution

The fourth proportional to 596.10, 892.98 and 486.54 is: 728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.10 : 892.98 = 486.54 : x
  2. Step 2: Convert to fraction form
    596.10/892.98 = 486.54/x
  3. Step 3: Cross multiply
    596.10x = 892.98 × 486.54
  4. Step 4: Simplify right side
    596.10x = 434,470.49
  5. Step 5: Solve for x
    x = 434,470.49/596.10
  6. Step 6: Final answer
    x = 728.86

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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.