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Finding the Fourth Proportional to 308.87, 423.83 and 281.02

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Solution

The fourth proportional to 308.87, 423.83 and 281.02 is: 385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.87 : 423.83 = 281.02 : x
  2. Step 2: Convert to fraction form
    308.87/423.83 = 281.02/x
  3. Step 3: Cross multiply
    308.87x = 423.83 × 281.02
  4. Step 4: Simplify right side
    308.87x = 119,102.59
  5. Step 5: Solve for x
    x = 119,102.59/308.87
  6. Step 6: Final answer
    x = 385.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.