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Finding the Fourth Proportional to 513.22, 769.67 and 224.58

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Solution

The fourth proportional to 513.22, 769.67 and 224.58 is: 336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.22 : 769.67 = 224.58 : x
  2. Step 2: Convert to fraction form
    513.22/769.67 = 224.58/x
  3. Step 3: Cross multiply
    513.22x = 769.67 × 224.58
  4. Step 4: Simplify right side
    513.22x = 172,852.49
  5. Step 5: Solve for x
    x = 172,852.49/513.22
  6. Step 6: Final answer
    x = 336.80

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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.