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Finding the Fourth Proportional to 514.85, 769.82 and 450.45

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Solution

The fourth proportional to 514.85, 769.82 and 450.45 is: 673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.85 : 769.82 = 450.45 : x
  2. Step 2: Convert to fraction form
    514.85/769.82 = 450.45/x
  3. Step 3: Cross multiply
    514.85x = 769.82 × 450.45
  4. Step 4: Simplify right side
    514.85x = 346,763.17
  5. Step 5: Solve for x
    x = 346,763.17/514.85
  6. Step 6: Final answer
    x = 673.53

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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.