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Finding the Fourth Proportional to 342.45, 512.76 and 220.35

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Solution

The fourth proportional to 342.45, 512.76 and 220.35 is: 329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.45 : 512.76 = 220.35 : x
  2. Step 2: Convert to fraction form
    342.45/512.76 = 220.35/x
  3. Step 3: Cross multiply
    342.45x = 512.76 × 220.35
  4. Step 4: Simplify right side
    342.45x = 112,986.67
  5. Step 5: Solve for x
    x = 112,986.67/342.45
  6. Step 6: Final answer
    x = 329.94

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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.