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Finding the Fourth Proportional to 443.97, 661.49 and 419.13

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Solution

The fourth proportional to 443.97, 661.49 and 419.13 is: 624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.97 : 661.49 = 419.13 : x
  2. Step 2: Convert to fraction form
    443.97/661.49 = 419.13/x
  3. Step 3: Cross multiply
    443.97x = 661.49 × 419.13
  4. Step 4: Simplify right side
    443.97x = 277,244.90
  5. Step 5: Solve for x
    x = 277,244.90/443.97
  6. Step 6: Final answer
    x = 624.47

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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.