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Finding the Fourth Proportional to 463.06, 639.84 and 343.25

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Solution

The fourth proportional to 463.06, 639.84 and 343.25 is: 474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.06 : 639.84 = 343.25 : x
  2. Step 2: Convert to fraction form
    463.06/639.84 = 343.25/x
  3. Step 3: Cross multiply
    463.06x = 639.84 × 343.25
  4. Step 4: Simplify right side
    463.06x = 219,624.05
  5. Step 5: Solve for x
    x = 219,624.05/463.06
  6. Step 6: Final answer
    x = 474.29

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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.