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Finding the Fourth Proportional to 513.39, 770.09 and 224.76

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Solution

The fourth proportional to 513.39, 770.09 and 224.76 is: 337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.39 : 770.09 = 224.76 : x
  2. Step 2: Convert to fraction form
    513.39/770.09 = 224.76/x
  3. Step 3: Cross multiply
    513.39x = 770.09 × 224.76
  4. Step 4: Simplify right side
    513.39x = 173,084.30
  5. Step 5: Solve for x
    x = 173,084.30/513.39
  6. Step 6: Final answer
    x = 337.14

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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.