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Finding the Fourth Proportional to 463.21, 639.29 and 266.71

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Solution

The fourth proportional to 463.21, 639.29 and 266.71 is: 368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.21 : 639.29 = 266.71 : x
  2. Step 2: Convert to fraction form
    463.21/639.29 = 266.71/x
  3. Step 3: Cross multiply
    463.21x = 639.29 × 266.71
  4. Step 4: Simplify right side
    463.21x = 170,505.04
  5. Step 5: Solve for x
    x = 170,505.04/463.21
  6. Step 6: Final answer
    x = 368.09

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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.