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Finding the Fourth Proportional to 514.75, 770.42 and 411.55

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Solution

The fourth proportional to 514.75, 770.42 and 411.55 is: 615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.75 : 770.42 = 411.55 : x
  2. Step 2: Convert to fraction form
    514.75/770.42 = 411.55/x
  3. Step 3: Cross multiply
    514.75x = 770.42 × 411.55
  4. Step 4: Simplify right side
    514.75x = 317,067.25
  5. Step 5: Solve for x
    x = 317,067.25/514.75
  6. Step 6: Final answer
    x = 615.96

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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.