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Finding the Fourth Proportional to 514.12, 770.91 and 411.61

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Solution

The fourth proportional to 514.12, 770.91 and 411.61 is: 617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 770.91 = 411.61 : x
  2. Step 2: Convert to fraction form
    514.12/770.91 = 411.61/x
  3. Step 3: Cross multiply
    514.12x = 770.91 × 411.61
  4. Step 4: Simplify right side
    514.12x = 317,314.27
  5. Step 5: Solve for x
    x = 317,314.27/514.12
  6. Step 6: Final answer
    x = 617.20

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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.