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Finding the Fourth Proportional to 284.54, 395.39 and 281.57

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Solution

The fourth proportional to 284.54, 395.39 and 281.57 is: 391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 395.39 = 281.57 : x
  2. Step 2: Convert to fraction form
    284.54/395.39 = 281.57/x
  3. Step 3: Cross multiply
    284.54x = 395.39 × 281.57
  4. Step 4: Simplify right side
    284.54x = 111,329.96
  5. Step 5: Solve for x
    x = 111,329.96/284.54
  6. Step 6: Final answer
    x = 391.26

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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.