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Finding the Fourth Proportional to 513.54, 770.67 and 225.06

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Solution

The fourth proportional to 513.54, 770.67 and 225.06 is: 337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 770.67 = 225.06 : x
  2. Step 2: Convert to fraction form
    513.54/770.67 = 225.06/x
  3. Step 3: Cross multiply
    513.54x = 770.67 × 225.06
  4. Step 4: Simplify right side
    513.54x = 173,446.99
  5. Step 5: Solve for x
    x = 173,446.99/513.54
  6. Step 6: Final answer
    x = 337.75

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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.