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Finding the Fourth Proportional to 287, 398.18 and 284.30

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Solution

The fourth proportional to 287, 398.18 and 284.30 is: 394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 398.18 = 284.30 : x
  2. Step 2: Convert to fraction form
    287/398.18 = 284.30/x
  3. Step 3: Cross multiply
    287x = 398.18 × 284.30
  4. Step 4: Simplify right side
    287x = 113,202.57
  5. Step 5: Solve for x
    x = 113,202.57/287
  6. Step 6: Final answer
    x = 394.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.