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Finding the Fourth Proportional to 463.98, 640.22 and 298.22

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Solution

The fourth proportional to 463.98, 640.22 and 298.22 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 640.22 = 298.22 : x
  2. Step 2: Convert to fraction form
    463.98/640.22 = 298.22/x
  3. Step 3: Cross multiply
    463.98x = 640.22 × 298.22
  4. Step 4: Simplify right side
    463.98x = 190,923.95
  5. Step 5: Solve for x
    x = 190,923.95/463.98
  6. Step 6: Final answer
    x = 411.49

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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.