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Finding the Fourth Proportional to 513.40, 770.46 and 224.92

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Solution

The fourth proportional to 513.40, 770.46 and 224.92 is: 337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.40 : 770.46 = 224.92 : x
  2. Step 2: Convert to fraction form
    513.40/770.46 = 224.92/x
  3. Step 3: Cross multiply
    513.40x = 770.46 × 224.92
  4. Step 4: Simplify right side
    513.40x = 173,291.86
  5. Step 5: Solve for x
    x = 173,291.86/513.40
  6. Step 6: Final answer
    x = 337.54

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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.