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Finding the Fourth Proportional to 397.70, 596.33 and 202.64

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Solution

The fourth proportional to 397.70, 596.33 and 202.64 is: 303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.70 : 596.33 = 202.64 : x
  2. Step 2: Convert to fraction form
    397.70/596.33 = 202.64/x
  3. Step 3: Cross multiply
    397.70x = 596.33 × 202.64
  4. Step 4: Simplify right side
    397.70x = 120,839.30
  5. Step 5: Solve for x
    x = 120,839.30/397.70
  6. Step 6: Final answer
    x = 303.85

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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.