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Finding the Fourth Proportional to 463.26, 639.27 and 264.09

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Solution

The fourth proportional to 463.26, 639.27 and 264.09 is: 364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.26 : 639.27 = 264.09 : x
  2. Step 2: Convert to fraction form
    463.26/639.27 = 264.09/x
  3. Step 3: Cross multiply
    463.26x = 639.27 × 264.09
  4. Step 4: Simplify right side
    463.26x = 168,824.81
  5. Step 5: Solve for x
    x = 168,824.81/463.26
  6. Step 6: Final answer
    x = 364.43

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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.