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Finding the Fourth Proportional to 514.03, 769.68 and 463

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Solution

The fourth proportional to 514.03, 769.68 and 463 is: 693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.03 : 769.68 = 463 : x
  2. Step 2: Convert to fraction form
    514.03/769.68 = 463/x
  3. Step 3: Cross multiply
    514.03x = 769.68 × 463
  4. Step 4: Simplify right side
    514.03x = 356,361.84
  5. Step 5: Solve for x
    x = 356,361.84/514.03
  6. Step 6: Final answer
    x = 693.27

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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.