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Finding the Fourth Proportional to 596.57, 893.11 and 443.17

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Solution

The fourth proportional to 596.57, 893.11 and 443.17 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 893.11 = 443.17 : x
  2. Step 2: Convert to fraction form
    596.57/893.11 = 443.17/x
  3. Step 3: Cross multiply
    596.57x = 893.11 × 443.17
  4. Step 4: Simplify right side
    596.57x = 395,800.40
  5. Step 5: Solve for x
    x = 395,800.40/596.57
  6. Step 6: Final answer
    x = 663.47

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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.