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Finding the Fourth Proportional to 397.48, 596.22 and 202.48

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Solution

The fourth proportional to 397.48, 596.22 and 202.48 is: 303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.48 : 596.22 = 202.48 : x
  2. Step 2: Convert to fraction form
    397.48/596.22 = 202.48/x
  3. Step 3: Cross multiply
    397.48x = 596.22 × 202.48
  4. Step 4: Simplify right side
    397.48x = 120,722.63
  5. Step 5: Solve for x
    x = 120,722.63/397.48
  6. Step 6: Final answer
    x = 303.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.