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Finding the Fourth Proportional to 514.20, 768.39 and 370.20

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Solution

The fourth proportional to 514.20, 768.39 and 370.20 is: 553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 768.39 = 370.20 : x
  2. Step 2: Convert to fraction form
    514.20/768.39 = 370.20/x
  3. Step 3: Cross multiply
    514.20x = 768.39 × 370.20
  4. Step 4: Simplify right side
    514.20x = 284,457.98
  5. Step 5: Solve for x
    x = 284,457.98/514.20
  6. Step 6: Final answer
    x = 553.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.