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Finding the Fourth Proportional to 596.09, 893.78 and 266.97

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Solution

The fourth proportional to 596.09, 893.78 and 266.97 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.09 : 893.78 = 266.97 : x
  2. Step 2: Convert to fraction form
    596.09/893.78 = 266.97/x
  3. Step 3: Cross multiply
    596.09x = 893.78 × 266.97
  4. Step 4: Simplify right side
    596.09x = 238,611.11
  5. Step 5: Solve for x
    x = 238,611.11/596.09
  6. Step 6: Final answer
    x = 400.29

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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.