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Finding the Fourth Proportional to 514.02, 769.20 and 376.73

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Solution

The fourth proportional to 514.02, 769.20 and 376.73 is: 563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.02 : 769.20 = 376.73 : x
  2. Step 2: Convert to fraction form
    514.02/769.20 = 376.73/x
  3. Step 3: Cross multiply
    514.02x = 769.20 × 376.73
  4. Step 4: Simplify right side
    514.02x = 289,779.75
  5. Step 5: Solve for x
    x = 289,779.75/514.02
  6. Step 6: Final answer
    x = 563.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.