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Finding the Fourth Proportional to 449.87, 674.00 and 384.21

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Solution

The fourth proportional to 449.87, 674.00 and 384.21 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.87 : 674.00 = 384.21 : x
  2. Step 2: Convert to fraction form
    449.87/674.00 = 384.21/x
  3. Step 3: Cross multiply
    449.87x = 674.00 × 384.21
  4. Step 4: Simplify right side
    449.87x = 258,957.06
  5. Step 5: Solve for x
    x = 258,957.06/449.87
  6. Step 6: Final answer
    x = 575.63

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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.