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Finding the Fourth Proportional to 342.42, 513.62 and 221.32

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Solution

The fourth proportional to 342.42, 513.62 and 221.32 is: 331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.42 : 513.62 = 221.32 : x
  2. Step 2: Convert to fraction form
    342.42/513.62 = 221.32/x
  3. Step 3: Cross multiply
    342.42x = 513.62 × 221.32
  4. Step 4: Simplify right side
    342.42x = 113,674.38
  5. Step 5: Solve for x
    x = 113,674.38/342.42
  6. Step 6: Final answer
    x = 331.97

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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.