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Finding the Fourth Proportional to 514.38, 770.76 and 446.34

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Solution

The fourth proportional to 514.38, 770.76 and 446.34 is: 668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.38 : 770.76 = 446.34 : x
  2. Step 2: Convert to fraction form
    514.38/770.76 = 446.34/x
  3. Step 3: Cross multiply
    514.38x = 770.76 × 446.34
  4. Step 4: Simplify right side
    514.38x = 344,021.02
  5. Step 5: Solve for x
    x = 344,021.02/514.38
  6. Step 6: Final answer
    x = 668.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.