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Finding the Fourth Proportional to 514.25, 768.65 and 447.85

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Solution

The fourth proportional to 514.25, 768.65 and 447.85 is: 669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.25 : 768.65 = 447.85 : x
  2. Step 2: Convert to fraction form
    514.25/768.65 = 447.85/x
  3. Step 3: Cross multiply
    514.25x = 768.65 × 447.85
  4. Step 4: Simplify right side
    514.25x = 344,239.90
  5. Step 5: Solve for x
    x = 344,239.90/514.25
  6. Step 6: Final answer
    x = 669.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.