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Finding the Fourth Proportional to 342.34, 513.64 and 220.84

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Solution

The fourth proportional to 342.34, 513.64 and 220.84 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.34 : 513.64 = 220.84 : x
  2. Step 2: Convert to fraction form
    342.34/513.64 = 220.84/x
  3. Step 3: Cross multiply
    342.34x = 513.64 × 220.84
  4. Step 4: Simplify right side
    342.34x = 113,432.26
  5. Step 5: Solve for x
    x = 113,432.26/342.34
  6. Step 6: Final answer
    x = 331.34

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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.