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Finding the Fourth Proportional to 463.34, 638.74 and 286.18

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Solution

The fourth proportional to 463.34, 638.74 and 286.18 is: 394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.34 : 638.74 = 286.18 : x
  2. Step 2: Convert to fraction form
    463.34/638.74 = 286.18/x
  3. Step 3: Cross multiply
    463.34x = 638.74 × 286.18
  4. Step 4: Simplify right side
    463.34x = 182,794.61
  5. Step 5: Solve for x
    x = 182,794.61/463.34
  6. Step 6: Final answer
    x = 394.52

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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.