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Finding the Fourth Proportional to 596.24, 892.62 and 442.85

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Solution

The fourth proportional to 596.24, 892.62 and 442.85 is: 662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 892.62 = 442.85 : x
  2. Step 2: Convert to fraction form
    596.24/892.62 = 442.85/x
  3. Step 3: Cross multiply
    596.24x = 892.62 × 442.85
  4. Step 4: Simplify right side
    596.24x = 395,292.30
  5. Step 5: Solve for x
    x = 395,292.30/596.24
  6. Step 6: Final answer
    x = 662.98

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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.