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Finding the Fourth Proportional to 514.17, 769.46 and 319.05

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Solution

The fourth proportional to 514.17, 769.46 and 319.05 is: 477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.17 : 769.46 = 319.05 : x
  2. Step 2: Convert to fraction form
    514.17/769.46 = 319.05/x
  3. Step 3: Cross multiply
    514.17x = 769.46 × 319.05
  4. Step 4: Simplify right side
    514.17x = 245,494.62
  5. Step 5: Solve for x
    x = 245,494.62/514.17
  6. Step 6: Final answer
    x = 477.46

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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.