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Finding the Fourth Proportional to 514.02, 769.41 and 406.02

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Solution

The fourth proportional to 514.02, 769.41 and 406.02 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.02 : 769.41 = 406.02 : x
  2. Step 2: Convert to fraction form
    514.02/769.41 = 406.02/x
  3. Step 3: Cross multiply
    514.02x = 769.41 × 406.02
  4. Step 4: Simplify right side
    514.02x = 312,395.85
  5. Step 5: Solve for x
    x = 312,395.85/514.02
  6. Step 6: Final answer
    x = 607.75

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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.