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Finding the Fourth Proportional to 463.10, 639.20 and 286.22

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Solution

The fourth proportional to 463.10, 639.20 and 286.22 is: 395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.10 : 639.20 = 286.22 : x
  2. Step 2: Convert to fraction form
    463.10/639.20 = 286.22/x
  3. Step 3: Cross multiply
    463.10x = 639.20 × 286.22
  4. Step 4: Simplify right side
    463.10x = 182,948.27
  5. Step 5: Solve for x
    x = 182,948.27/463.10
  6. Step 6: Final answer
    x = 395.05

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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.