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Finding the Fourth Proportional to 449.53, 670.99 and 418.20

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Solution

The fourth proportional to 449.53, 670.99 and 418.20 is: 624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.53 : 670.99 = 418.20 : x
  2. Step 2: Convert to fraction form
    449.53/670.99 = 418.20/x
  3. Step 3: Cross multiply
    449.53x = 670.99 × 418.20
  4. Step 4: Simplify right side
    449.53x = 280,608.02
  5. Step 5: Solve for x
    x = 280,608.02/449.53
  6. Step 6: Final answer
    x = 624.23

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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.