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Finding the Fourth Proportional to 596.19, 893.36 and 249.48

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Solution

The fourth proportional to 596.19, 893.36 and 249.48 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.19 : 893.36 = 249.48 : x
  2. Step 2: Convert to fraction form
    596.19/893.36 = 249.48/x
  3. Step 3: Cross multiply
    596.19x = 893.36 × 249.48
  4. Step 4: Simplify right side
    596.19x = 222,876.08
  5. Step 5: Solve for x
    x = 222,876.08/596.19
  6. Step 6: Final answer
    x = 373.83

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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.