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Finding the Fourth Proportional to 596.03, 892.42 and 378.95

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Solution

The fourth proportional to 596.03, 892.42 and 378.95 is: 567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.03 : 892.42 = 378.95 : x
  2. Step 2: Convert to fraction form
    596.03/892.42 = 378.95/x
  3. Step 3: Cross multiply
    596.03x = 892.42 × 378.95
  4. Step 4: Simplify right side
    596.03x = 338,177.15
  5. Step 5: Solve for x
    x = 338,177.15/596.03
  6. Step 6: Final answer
    x = 567.39

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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.