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Finding the Fourth Proportional to 514.14, 770.64 and 225.54

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Solution

The fourth proportional to 514.14, 770.64 and 225.54 is: 338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 770.64 = 225.54 : x
  2. Step 2: Convert to fraction form
    514.14/770.64 = 225.54/x
  3. Step 3: Cross multiply
    514.14x = 770.64 × 225.54
  4. Step 4: Simplify right side
    514.14x = 173,810.15
  5. Step 5: Solve for x
    x = 173,810.15/514.14
  6. Step 6: Final answer
    x = 338.06

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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.