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Finding the Fourth Proportional to 596.38, 893.93 and 249.63

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Solution

The fourth proportional to 596.38, 893.93 and 249.63 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.38 : 893.93 = 249.63 : x
  2. Step 2: Convert to fraction form
    596.38/893.93 = 249.63/x
  3. Step 3: Cross multiply
    596.38x = 893.93 × 249.63
  4. Step 4: Simplify right side
    596.38x = 223,151.75
  5. Step 5: Solve for x
    x = 223,151.75/596.38
  6. Step 6: Final answer
    x = 374.18

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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.