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Finding the Fourth Proportional to 596.43, 893.07 and 411.93

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Solution

The fourth proportional to 596.43, 893.07 and 411.93 is: 616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.43 : 893.07 = 411.93 : x
  2. Step 2: Convert to fraction form
    596.43/893.07 = 411.93/x
  3. Step 3: Cross multiply
    596.43x = 893.07 × 411.93
  4. Step 4: Simplify right side
    596.43x = 367,882.33
  5. Step 5: Solve for x
    x = 367,882.33/596.43
  6. Step 6: Final answer
    x = 616.81

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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.