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Finding the Fourth Proportional to 596.49, 893.17 and 442.52

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Solution

The fourth proportional to 596.49, 893.17 and 442.52 is: 662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.49 : 893.17 = 442.52 : x
  2. Step 2: Convert to fraction form
    596.49/893.17 = 442.52/x
  3. Step 3: Cross multiply
    596.49x = 893.17 × 442.52
  4. Step 4: Simplify right side
    596.49x = 395,245.59
  5. Step 5: Solve for x
    x = 395,245.59/596.49
  6. Step 6: Final answer
    x = 662.62

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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.