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Finding the Fourth Proportional to 449.00, 671.81 and 424.29

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Solution

The fourth proportional to 449.00, 671.81 and 424.29 is: 634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.00 : 671.81 = 424.29 : x
  2. Step 2: Convert to fraction form
    449.00/671.81 = 424.29/x
  3. Step 3: Cross multiply
    449.00x = 671.81 × 424.29
  4. Step 4: Simplify right side
    449.00x = 285,042.66
  5. Step 5: Solve for x
    x = 285,042.66/449.00
  6. Step 6: Final answer
    x = 634.84

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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.