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Finding the Fourth Proportional to 514.41, 770.63 and 305.73

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Solution

The fourth proportional to 514.41, 770.63 and 305.73 is: 458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.41 : 770.63 = 305.73 : x
  2. Step 2: Convert to fraction form
    514.41/770.63 = 305.73/x
  3. Step 3: Cross multiply
    514.41x = 770.63 × 305.73
  4. Step 4: Simplify right side
    514.41x = 235,604.71
  5. Step 5: Solve for x
    x = 235,604.71/514.41
  6. Step 6: Final answer
    x = 458.01

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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.