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Finding the Fourth Proportional to 461.70, 693.46 and 408.85

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Solution

The fourth proportional to 461.70, 693.46 and 408.85 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.70 : 693.46 = 408.85 : x
  2. Step 2: Convert to fraction form
    461.70/693.46 = 408.85/x
  3. Step 3: Cross multiply
    461.70x = 693.46 × 408.85
  4. Step 4: Simplify right side
    461.70x = 283,519.90
  5. Step 5: Solve for x
    x = 283,519.90/461.70
  6. Step 6: Final answer
    x = 614.08

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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.