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Finding the Fourth Proportional to 449.97, 621.03 and 284.27

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Solution

The fourth proportional to 449.97, 621.03 and 284.27 is: 392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.97 : 621.03 = 284.27 : x
  2. Step 2: Convert to fraction form
    449.97/621.03 = 284.27/x
  3. Step 3: Cross multiply
    449.97x = 621.03 × 284.27
  4. Step 4: Simplify right side
    449.97x = 176,537.09
  5. Step 5: Solve for x
    x = 176,537.09/449.97
  6. Step 6: Final answer
    x = 392.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.