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Finding the Fourth Proportional to 449.50, 675 and 415.83

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Solution

The fourth proportional to 449.50, 675 and 415.83 is: 624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.50 : 675 = 415.83 : x
  2. Step 2: Convert to fraction form
    449.50/675 = 415.83/x
  3. Step 3: Cross multiply
    449.50x = 675 × 415.83
  4. Step 4: Simplify right side
    449.50x = 280,681.88
  5. Step 5: Solve for x
    x = 280,681.88/449.50
  6. Step 6: Final answer
    x = 624.43

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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.