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Finding the Fourth Proportional to 513.30, 769.96 and 224.68

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Solution

The fourth proportional to 513.30, 769.96 and 224.68 is: 337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.30 : 769.96 = 224.68 : x
  2. Step 2: Convert to fraction form
    513.30/769.96 = 224.68/x
  3. Step 3: Cross multiply
    513.30x = 769.96 × 224.68
  4. Step 4: Simplify right side
    513.30x = 172,994.61
  5. Step 5: Solve for x
    x = 172,994.61/513.30
  6. Step 6: Final answer
    x = 337.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.