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Finding the Fourth Proportional to 287.33, 396.19 and 228.20

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Solution

The fourth proportional to 287.33, 396.19 and 228.20 is: 314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.33 : 396.19 = 228.20 : x
  2. Step 2: Convert to fraction form
    287.33/396.19 = 228.20/x
  3. Step 3: Cross multiply
    287.33x = 396.19 × 228.20
  4. Step 4: Simplify right side
    287.33x = 90,410.98
  5. Step 5: Solve for x
    x = 90,410.98/287.33
  6. Step 6: Final answer
    x = 314.66

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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.