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Finding the Fourth Proportional to 597.11, 893.93 and 443.72

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Solution

The fourth proportional to 597.11, 893.93 and 443.72 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.11 : 893.93 = 443.72 : x
  2. Step 2: Convert to fraction form
    597.11/893.93 = 443.72/x
  3. Step 3: Cross multiply
    597.11x = 893.93 × 443.72
  4. Step 4: Simplify right side
    597.11x = 396,654.62
  5. Step 5: Solve for x
    x = 396,654.62/597.11
  6. Step 6: Final answer
    x = 664.29

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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.