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Finding the Fourth Proportional to 463.97, 639.73 and 298.19

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Solution

The fourth proportional to 463.97, 639.73 and 298.19 is: 411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.97 : 639.73 = 298.19 : x
  2. Step 2: Convert to fraction form
    463.97/639.73 = 298.19/x
  3. Step 3: Cross multiply
    463.97x = 639.73 × 298.19
  4. Step 4: Simplify right side
    463.97x = 190,763.06
  5. Step 5: Solve for x
    x = 190,763.06/463.97
  6. Step 6: Final answer
    x = 411.15

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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.