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Finding the Fourth Proportional to 463.05, 639.04 and 266.57

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Solution

The fourth proportional to 463.05, 639.04 and 266.57 is: 367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.05 : 639.04 = 266.57 : x
  2. Step 2: Convert to fraction form
    463.05/639.04 = 266.57/x
  3. Step 3: Cross multiply
    463.05x = 639.04 × 266.57
  4. Step 4: Simplify right side
    463.05x = 170,348.89
  5. Step 5: Solve for x
    x = 170,348.89/463.05
  6. Step 6: Final answer
    x = 367.88

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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.