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Finding the Fourth Proportional to 449.75, 670.74 and 418.97

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Solution

The fourth proportional to 449.75, 670.74 and 418.97 is: 624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 670.74 = 418.97 : x
  2. Step 2: Convert to fraction form
    449.75/670.74 = 418.97/x
  3. Step 3: Cross multiply
    449.75x = 670.74 × 418.97
  4. Step 4: Simplify right side
    449.75x = 281,017.84
  5. Step 5: Solve for x
    x = 281,017.84/449.75
  6. Step 6: Final answer
    x = 624.83

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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.