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Finding the Fourth Proportional to 342.53, 512.85 and 220.42

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Solution

The fourth proportional to 342.53, 512.85 and 220.42 is: 330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.53 : 512.85 = 220.42 : x
  2. Step 2: Convert to fraction form
    342.53/512.85 = 220.42/x
  3. Step 3: Cross multiply
    342.53x = 512.85 × 220.42
  4. Step 4: Simplify right side
    342.53x = 113,042.40
  5. Step 5: Solve for x
    x = 113,042.40/342.53
  6. Step 6: Final answer
    x = 330.02

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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.