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Finding the Fourth Proportional to 596.59, 894.07 and 443.09

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Solution

The fourth proportional to 596.59, 894.07 and 443.09 is: 664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.59 : 894.07 = 443.09 : x
  2. Step 2: Convert to fraction form
    596.59/894.07 = 443.09/x
  3. Step 3: Cross multiply
    596.59x = 894.07 × 443.09
  4. Step 4: Simplify right side
    596.59x = 396,154.60
  5. Step 5: Solve for x
    x = 396,154.60/596.59
  6. Step 6: Final answer
    x = 664.03

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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.