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Finding the Fourth Proportional to 463.90, 640.01 and 298.05

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Solution

The fourth proportional to 463.90, 640.01 and 298.05 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 640.01 = 298.05 : x
  2. Step 2: Convert to fraction form
    463.90/640.01 = 298.05/x
  3. Step 3: Cross multiply
    463.90x = 640.01 × 298.05
  4. Step 4: Simplify right side
    463.90x = 190,755.73
  5. Step 5: Solve for x
    x = 190,755.73/463.90
  6. Step 6: Final answer
    x = 411.20

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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.