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Finding the Fourth Proportional to 513.28, 770.24 and 224.72

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Solution

The fourth proportional to 513.28, 770.24 and 224.72 is: 337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.28 : 770.24 = 224.72 : x
  2. Step 2: Convert to fraction form
    513.28/770.24 = 224.72/x
  3. Step 3: Cross multiply
    513.28x = 770.24 × 224.72
  4. Step 4: Simplify right side
    513.28x = 173,087.93
  5. Step 5: Solve for x
    x = 173,087.93/513.28
  6. Step 6: Final answer
    x = 337.22

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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.