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Finding the Fourth Proportional to 463.32, 639.09 and 286.23

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Solution

The fourth proportional to 463.32, 639.09 and 286.23 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 639.09 = 286.23 : x
  2. Step 2: Convert to fraction form
    463.32/639.09 = 286.23/x
  3. Step 3: Cross multiply
    463.32x = 639.09 × 286.23
  4. Step 4: Simplify right side
    463.32x = 182,929.13
  5. Step 5: Solve for x
    x = 182,929.13/463.32
  6. Step 6: Final answer
    x = 394.82

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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.