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Finding the Fourth Proportional to 514.30, 769.68 and 319.22

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Solution

The fourth proportional to 514.30, 769.68 and 319.22 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.30 : 769.68 = 319.22 : x
  2. Step 2: Convert to fraction form
    514.30/769.68 = 319.22/x
  3. Step 3: Cross multiply
    514.30x = 769.68 × 319.22
  4. Step 4: Simplify right side
    514.30x = 245,697.25
  5. Step 5: Solve for x
    x = 245,697.25/514.30
  6. Step 6: Final answer
    x = 477.73

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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.